| Next prime | 13 |
| Previous prime | 7 |
| Octal | (13)8 |
| Hexadecimal | (B)16 |
| Prime gap | 2 |
| 3rd Twin prime (the small number) | The big number is 13 . |
| 3rd Prime triplet (the smallest number) | The others are 13 and 17 . |
| 2nd Prime quadruplet (the smallest number) | The others are 13 , 17 and 19 . |
| 3rd Sexy prime (the small number) | The big number is 17 . |
| 3rd Prime of the Form 4n+3 | |
| 4th Sophie Germain prime | |
| 3rd Safe prime |