Estimated: Kaifeng, capital of China, becomes the largest city of the world, taking the lead from Córdoba in Al-Andalus.
The largest of the Four Great Books of Song, the Song Dynasty Chinese encyclopedia Prime Tortoise of the Record Bureau (which had been compiled since 1005), is completed in 1,000 volumes of 9.4 million written Chinese characters.
July – Sweyn Forkbeard, King of Denmark, having invaded England, is proclaimed as King within the Danelaw.
December 25 – Sweyn is proclaimed King of all England in London, forcing Æthelred the Unready to flee to Normandy.
Henry II, Holy Roman Emperor, signs a peace treaty at Merseburg with Duke Bolesław I Chrobry of Poland, who recognizes him as overlord.
Henry II, Holy Roman Emperor, gathers an army at Augsburg, to begin his second Italian military campaign.
The Jews are expelled from the Caliphate of Córdoba.
The Poles withdraw from Pomerania (approximate date).
Lyfing is appointed by Æthelred the Unready as Archbishop of Canterbury.
The Al-Hakim Mosque is completed in Cairo.
Beauvais changes from a county to a bishopric (approximate date).
Sancha of León, wife of Ferdinand I of León (d. 1067)
Rabbi Isaac Alfasi (Rif),Moroccan Talmudist and posek (d. 1103)
Abu al-Qasim al-Zahrawi, scholar of medicine (b. 936)
Mufarrij ibn Daghfal ibn al-Jarrah, Arab emir in Palestine (b. 977)
Year 1013 (MXIII) was a common year starting on Thursday (link will display the full calendar) of the Julian calendar.
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