1313 (MCCCXIII) was a common year starting on Monday of the Julian calendar, the 1313th year of the Common Era (CE) and Anno Domini (AD) designations, the 313th year of the 2nd millennium, the 13th year of the 14th century, and the 4th year of the 1310s decade. As of the start of 1313, the Gregorian calendar was 8 days ahead of the Julian calendar, which was the dominant calendar of the time.

• November 9 – Louis the Bavarian beats his cousin Frederick I of Austria at the Battle of Gamelsdorf.
• Siege of Rostock ends.
• Stefan Uroš II Milutin of Serbia starts the Banjska monastery.

• June 16 – Giovanni Boccaccio, Italian writer (died 1375)
• July 20 – John Tiptoft, 2nd Baron Tibetot, (died 1367)
• August 1 – Emperor Kogon (died 1364)
• August 13 – Aradia di Toscano, female in Italian witchcraft
  • Maria of Portugal, Portuguese infanta (died 1357)
  • Bartolus de Saxoferrato, Italian law professor (died 1357)

• March – Guillaume de Nogaret, councillor and keeper of the seal to Philip IV of France
• June 18 – John de Burgh, (born 1286)
• August 24 – Henry VII, Emperor of the Holy Roman Empire (born 1275)
• September 16 – Notburga, Austrian saint (born 1265)
• November 18 – Constance of Portugal, Portuguese infanta (born 1290)
• date unknown
  • Arnaldus de Villa Nova, alchemist (born 1235)
  • Giorgi VI the Minor, King of Georgia
  • John Schorne, rector of North Marston in the English county of Buckinghamshire
  • Hugo von Trimberg, German Catholic didactic writer of the Middle Ages
  • Robert Winchelsey, Christian theologian and Archbishop of Canterbury (born 1245)