13 (the 6th prime)

 
Next prime17
Previous prime11
Octal(15)8
Hexadecimal(D)16
Prime gap4
4th Prime triplet (the smallest number)The others are 17 and 19 .
3rd Cousin prime (the small number)The big number is 17 .
4th Sexy prime (the small number)The big number is 19 .
2nd Prime of the Form 3n+112 + 3 * 22
2nd Prime of the Form 4n+122 + 32
1st Emirp (reversible prime) 
5th Left-truncatable prime