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1813 in various calendars
Gregorian calendar	1813; MDCCCXIII
Ab urbe condita	2566
Armenian calendar	1262; ԹՎ ՌՄԿԲ
Assyrian calendar	6563
Balinese saka calendar	1734–1735
Bengali calendar	1220
Berber calendar	2763
British Regnal year	53 Geo. 3 – 54 Geo. 3
Buddhist calendar	2357
Burmese calendar	1175
Byzantine calendar	7321–7322
Chinese calendar	壬申年 (Water Monkey); 4510 or 4303; — to —; 癸酉年 (Water Rooster); 4511 or 4304
Coptic calendar	1529–1530
Discordian calendar	2979
Ethiopian calendar	1805–1806
Hebrew calendar	5573–5574
Hindu calendars
- Vikram Samvat	1869–1870
- Shaka Samvat	1734–1735
- Kali Yuga	4913–4914
Holocene calendar	11813
Igbo calendar	813–814
Iranian calendar	1191–1192
Islamic calendar	1227–1229
Japanese calendar	Bunka 10; (文化１０年)
Javanese calendar	1739–1740
Julian calendar	Gregorian minus 12 days
Korean calendar	4146
Minguo calendar	99 before ROC; 民前99年
Nanakshahi calendar	345
Thai solar calendar	2355–2356
Tibetan calendar	阳水猴年; (male Water-Monkey); 1939 or 1558 or 786; — to —; 阴水鸡年; (female Water-Rooster); 1940 or 1559 or 787

Millennium:	2nd millennium
Centuries:	18th century; 19th century ; 20th century;
Decades:	1790s; 1800s; 1810s ; 1820s; 1830s;
Years:	1810; 1811; 1812; 1813 ; 1814; 1815; 1816;

1813 (MDCCCXIII) was a common year starting on Friday of the Gregorian calendar and a common year starting on Wednesday of the Julian calendar, the 1813th year of the Common Era (CE) and Anno Domini (AD) designations, the 813th year of the 2nd millennium, the 13th year of the 19th century, and the 4th year of the 1810s decade. As of the start of 1813, the Gregorian calendar was 12 days ahead of the Julian calendar, which remained in localized use until 1923.

Events

January–March

January 5 – The Danish state bankruptcy of 1813 occurs.
January 18–23 – War of 1812: The Battle of Frenchtown is fought in modern-day Monroe, Michigan between the United States and a British and Native American alliance.
January 24 – The Philharmonic Society (later the Royal Philharmonic Society) is founded in London.
January 28 – Jane Austen's Pride and Prejudice is published anonymously in London.
January 31 – The Assembly of the Year XIII is inaugurated in Buenos Aires.
February – War of 1812 in North America: General William Henry Harrison sends out an expedition to burn the British vessels at Fort Malden by going across Lake Erie via the Bass Islands in sleighs, but the ice is not hard enough, and the expedition returns.
February 3 – Argentine War of Independence: José de San Martín and his Regiment of Mounted Grenadiers gain a largely symbolic victory against a Spanish royalist army in the Battle of San Lorenzo.
February 7 – Napoleonic Wars: Action of 7 February 1813 – The French frigate Aréthuse (1812) and the British ship HMS Amelia (1796) engage in battle in the Îles de Los on the Guinea Coast; both ships retire unbeaten.
February 9 – Prussia abolishes the canton system.
February 11 – War of 1812: Construction begins on Fort Meigs in Ohio, under the command of General William Henry Harrison. Major Amos Stoddard assumes command of its artillery.
March 4
- Napoleonic Wars: The French garrison evacuates Berlin, leaving Russian troops able to reach and take the city without a fight.
- Cyril VI of Constantinople is elected Ecumenical Patriarch.
- James Madison is sworn in for a second term as President of the United States.
March 17 – Napoleonic Wars: Prussia declares war on France, and introduces the Iron Cross military award (backdated to March 10).
March 28 – 1813–1814 Malta plague epidemic spreads from Egypt.
March 29 – Mexican War of Independence: Battle of Rosillo Creek – The Republican Army of the North defeats the Spanish Royalist Army in modern-day Bexar County, Texas.

April–June

April 8 – War of 1812: Colonel James Ball arrives at Fort Meigs with 200 dragoons.
April 27 – War of 1812: Battle of York – United States troops raid and destroy but do not hold the capital of Upper Canada, York (modern-day Toronto).
May 1–9 – War of 1812: Fort Meigs is first besieged, by British allied forces under General Henry Proctor and Chief Tecumseh.
May 2 – Napoleonic Wars: Battle of Lützen – Napoleon wins against the German alliance.
May 11 – 1813 crossing of the Blue Mountains: Gregory Blaxland, William Lawson and William Wentworth leave on an expedition to cross the Blue Mountains of Australia.
May 20–21 – Napoleonic Wars: Battle of Bautzen – Napoleon again defeats his combined enemies.
May 27 – War of 1812: In Canada, American forces capture Fort George.
June 1 – War of 1812: Capture of USS Chesapeake in Boston Harbor by British Royal Navy frigate HMS Shannon (1806).
June 6
- War of 1812: Battle of Stoney Creek – A British force of 700 under John Vincent defeats an American force three times its size, under William H. Winder and John Chandler.
- 1813 crossing of the Blue Mountains: Gregory Blaxland, William Lawson and William Wentworth succeed in crossing the Blue Mountains (New South Wales) and return home.
June 21 – Peninsular War: Battle of Vitoria – A British, Spanish and Portuguese force of 78,000 with 96 guns under Wellington defeats a French force of 58,000 with 153 guns under Joseph Bonaparte.

July–September

July – War of 1812 – The second siege of Fort Meigs by British allied forces fails.
July 5 – War of 1812: Three weeks of British raids on Fort Schlosser, Black Rock and Plattsburgh, New York begin.
July 13
- The Carabinieri, the national military police of Italy, are founded by Victor Emmanuel I as the police force of the Kingdom of Sardinia.
- Missionaries Adoniram Judson and his wife, Ann Hasseltine Judson, arrive in Burma.
July 23 – Sir Thomas Maitland is appointed as the first Governor of Malta, transforming the island from a British protectorate to a de facto colony.
August 12 – Napoleonic Wars: Austria declares war on France.
August 19 – Gervasio Antonio de Posadas joins Argentina's second triumvirate.
August 23 – Napoleonic Wars – Battle of Großbeeren: Napoleon is defeated by Prussia and Sweden.
August 26 – Napoleonic Wars – Battle of Katzbach: Napoleon's troops are defeated by Prussia and Russia.
August 26–27 – Napoleonic Wars – Battle of Dresden: Napoleon's troops are victorious.
August 29–30 – Napoleonic Wars – First Battle of Kulm: French Marshal Vandamme is defeated and captured, by allied Coalition forces from Russia, Prussia and Austria.
August 30 – Creek War – Fort Mims massacre: A force of Creeks, belonging to the Red Sticks faction, kills hundreds of settlers in Fort Mims, Alabama.
August 31 – Peninsular War:
- Battle of San Marcial: The Spanish Army of Galicia under Manuel Freire de Andrade turns back Marshal Soult's last major offensive against Wellington's allied army.
- After besieging San Sebastián, allied troops in Spain rampage, ransack and burn down the town almost entirely.
September – Robert Southey becomes Poet Laureate of the United Kingdom.
September 4 – The name of Germany's national card game, "Scat" (modern-day Skat), appears for the first time, in the gaming records of Hans Carl Leopold von der Gabelentz.
September 6 – Napoleonic Wars – Battle of Dennewitz: The armies of Napoleon are again defeated by Prussia and Russia.
September 10 – War of 1812 – Battle of Lake Erie: An American squadron under Commodore Oliver Hazard Perry defeats a British squadron, capturing 6 ships.
September 17 – Napoleonic Wars – Second Battle of Kulm: The Allied Coalition is victorious; Napoleon is forced to halt his advance on Teplitz, and withdraw to Leipzig.

October–December

October 2 – The Philomathean Society of the University of Pennsylvania is founded (the oldest continuously existing literary society in the United States).
October 5 – War of 1812 – Battle of the Thames in Upper Canada: William Henry Harrison defeats the British, and native leader Tecumseh is killed in battle.
October 14 – After a ceremony in Caracas, Venezuela, the municipality gives Simón Bolívar the title of El Libertador.
October 16–19 – Napoleonic Wars – Battle of Leipzig: Napoleon is defeated by the forces of the Sixth Coalition. More than 600,000 troops are in the field, with well over 10% killed, wounded or missing. Many of the German states forming the Confederation of the Rhine defect from Napoleon to the Coalition, as a result of the battle.
October 24–November 5 – Persia and Russia sign the Treaty of Gulistan at the end of the Russo-Persian War, by which Persia loses modern-day Georgia, Dagestan and most of Azerbaijan to Russia.
October 26 – War of 1812 – Battle of the Chateauguay: Charles de Salaberry defeats an American invasion.
November 11 – War of 1812 – Battle of Crysler's Farm: An outnumbered British–Canadian force repels an American attack, forcing the Americans to give up their attempt to capture Montreal.
November 21 – An independent government is restored in the Netherlands.
December 8 – Ludwig van Beethoven's Symphony No. 7, together with his Wellington's Victory, are premiered in Vienna under the composer's baton, in a benefit concert for Austrian and Bavarian soldiers wounded at the Battle of Hanau.
December 18–19 – War of 1812: British soldiers and native allies invade the United States, and are successful in the Capture of Fort Niagara, and attack Lewiston, New York.
December 29 – War of 1812: British soldiers burn Buffalo, New York.

Date unknown

Mathieu Orfila publishes his groundbreaking Traité des poisons, formalizing the field of toxicology.
Charles Waterton begins the process of turning his estate at Walton Hall, West Yorkshire, England into what is, in effect, the world's first nature reserve.^[1]
Following the death of his father Wossen Seged, Sahle Selassie arrives at the capital Qundi before his other brothers, and is made Meridazmach of Shewa.
The Supreme Council for the Northern Jurisdiction of the United States of America is founded.
Probable date – George E. Clymer invents the Columbian press, used to print newspapers worldwide.