|Covid-19|November 9 – Battle of Gamelsdorf: Louis the Bavarian defeats his cousin Frederick I of Austria.
The Siege of Rostock ends.
Stefan Uroš II Milutin of Serbia founds the Banjska monastery.
Wang Zhen, Chinese agronomist, government official, and inventor of wooden-based movable type printing, publishes the Nong Shu (Book of Agriculture).
February 9 – Maria of Portugal, Portuguese infanta (d. 1357)
July 20 – John Tiptoft, 2nd Baron Tibetot (d. 1367)
August 1 – Emperor Kōgon of Japan (d. 1364)
Bartolus de Saxoferrato, Italian law professor (d. 1357)
Giovanni Boccaccio, Italian writer (d. 1375)
March – Guillaume de Nogaret, councillor and keeper of the seal to Philip IV of France
May 11 – Robert Winchelsey, Christian theologian and Archbishop of Canterbury (b. 1245)
August 24 – Henry VII, Holy Roman Emperor (b. 1275)
September 3 – Anna of Bohemia (b. 1290)
September 13 – Notburga, Austrian saint (b. 1265)
November 18 – Constance of Portugal, Portuguese infanta (b. 1290)
Arnaldus de Villa Nova, alchemist (b. 1235)
Elizabeth of Hungary, Queen of Serbia (b. c. 1255)
Giorgi VI the Minor, King of Georgia
Jeanne la Fouacière, French linen merchant
John Schorne, rector of North Marston in the English county of Buckinghamshire
Hugo von Trimberg, German Catholic didactic author of the Middle Ages
Year 1313 (MCCCXIII) was a common year starting on Monday (link will display the full calendar) of the Julian calendar.