Fatto generale: 5513 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Fatto matematico: 5513 is the number of self-avoiding walks of length 10.
Trivia: 5513 is an unremarkable number.
Data storica: February 3rd is the day in 1112 that Ramon Berenguer III of Barcelona and Douce I of Provence marry, uniting the fortunes of those two states.