Fait mathématique: 5313 is the index of a triangular number containing only 3 different digits.
Culture générale: 5313 is an unremarkable number.
Date historique: July 18th is the day in 1857 that Louis Faidherbe, French governor of Senegal, arrives to relieve French forces at Kayes, effectively ending El Hajj Umar Tall's war against the French.