|Covid-19|March 21 – Henry V becomes King of England.
August 28 – The University of St Andrews in Scotland is chartered by papal bull.
October 2 – Kingdom of Poland and Grand Duchy of Lithuania sign the Union of Horodło
The Annals of the Joseon Dynasty begin in Korea.
Yishiha builds a Buddhist temple at Tyr, Russia, and puts up a stele describing his expedition to the lower Amur
End of Ottoman interregnum (after 1402). Mehmet I is the new sultan.
February 24 – Louis, Duke of Savoy (d. 1465)
September 8 – Catherine of Bologna, Italian cloistered nun (d. 1462)
November 19 – Frederick II, Elector of Brandenburg (d. 1471)
Joanot Martorell, Spanish writer (d.1468)
March 20 – Henry IV of England (b. 1367)
July 5 – Musa Çelebi, Ottoman prince and co-ruler of the Ottoman Empire
September 26 – Stephen III, Duke of Bavaria (b. 1337)
October 6 – Dawit I of Ethiopia (b. 1382)
December 26 – Michele Steno, Doge of Venice (b. 1331)
Year 1413 (MCDXIII) was a common year starting on Sunday (link will display the full calendar) of the Julian calendar.