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1013 in various calendars
Gregorian calendar	1013; MXIII
Ab urbe condita	1766
Armenian calendar	462; ԹՎ ՆԿԲ
Assyrian calendar	5763
Balinese saka calendar	934–935
Bengali calendar	419–420
Berber calendar	1963
English Regnal year	N/A
Buddhist calendar	1557
Burmese calendar	375
Byzantine calendar	6521–6522
Chinese calendar	壬子年 (Water Rat); 3710 or 3503; — to —; 癸丑年 (Water Ox); 3711 or 3504
Coptic calendar	729–730
Discordian calendar	2179
Ethiopian calendar	1005–1006
Hebrew calendar	4773–4774
Hindu calendars
- Vikram Samvat	1069–1070
- Shaka Samvat	934–935
- Kali Yuga	4113–4114
Holocene calendar	11013
Igbo calendar	13–14
Iranian calendar	391–392
Islamic calendar	403–404
Japanese calendar	Chōwa 2; (長和２年)
Javanese calendar	915–916
Julian calendar	1013; MXIII
Korean calendar	3346
Minguo calendar	899 before ROC; 民前899年
Nanakshahi calendar	−455
Seleucid era	1324/1325 AG
Thai solar calendar	1555–1556
Tibetan calendar	阳水鼠年; (male Water-Rat); 1139 or 758 or −14; — to —; 阴水牛年; (female Water-Ox); 1140 or 759 or −13

Millennium:	2nd millennium
Centuries:	10th century; 11th century ; 12th century;
Decades:	990s; 1000s; 1010s ; 1020s; 1030s;
Years:	1010; 1011; 1012; 1013 ; 1014; 1015; 1016;

Events

King Henry II of Germany signs a peace treaty at Merseburg with Duke Bolesław I the Brave) of Poland. As part of the treaty, Bolesław pays homage and recognizes Henry as his overlord in exchange for receiving the March of Lusatia (including the town of Bautzen) and the March of Meissen as fiefs. To seal their peace, Bolesław's son Mieszko II marries Richeza of Lotharingia (granddaughter of the late Emperor Otto II).
Sulayman ibn al-Hakam reconquers the Caliphate of Córdoba in Al-Andalus (modern Spain) and deposes Hisham II. Sulayman becomes the fifth Umayyad caliph of Córdoba (until 1016).
Winter – Henry II (anxious to be crowned as Holy Roman Emperor) mobilises a German expeditionary army at Augsburg, to begin his second Italian military campaign.

Summer – Danish Viking raiders led by Sweyn Forkbeard (accompanied by his son Cnut) sail from Denmark to attack England. Again London defends itself and the Vikings move elsewhere, plundering Wessex, Mercia and Northumbria. King Æthelred the Unready sends his sons Edward and Alfred to Normandy. Æthelred retreats to the Isle of Wight and follows them later into exile.^[1]
December 25 – Sweyn Forkbeard takes control of the Danelaw and is proclaimed king of England in London. Some of the English provinces refuse to pay homage to Sweyn, who has no dynastic right to claim the throne.^[1]^[2]

September – Emperor Sanjō of Japan visits the home of influential statesman Fujiwara no Michinaga.^[3]
December – Fujiwara no Masanobu, an officer of the guard of empress consort Kenshi of Japan, is killed by Fujiwara no Korekane and Michinaga orders the assassin imprisoned.^[3]
The Four Great Books of Song, the Song dynasty Chinese encyclopedia Prime Tortoise of the Record Bureau which has been compiled since 1005, is completed in 1,000 volumes of 9.4 million written Chinese characters.
Kaifeng, capital of China, becomes the largest city of the world, taking the lead from Córdoba in Al-Andalus (modern Spain).^[4]^[5]

Æthelred II appoints Lyfing as archbishop of Canterbury in England. He restores Canterbury Cathedral, adding porticus towers and a massive westwork.^[6]
Beauvais changes from a county to a bishopric (approximate date).