Fait général: 6813 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Fait mathématique: 6813 is the smallest number whose 6^{th} power has 24 digits.
Culture générale: 6813 is a boring number.
Date historique: August 26th is the day in 1999 that Russia begins the Second Chechen War in response to the Invasion of Dagestan by the Islamic International Peacekeeping Brigade.