13219 has 2 divisors, whose sum is σ = 13220. Its totient is φ = 13218.

The previous prime is 13217. The next prime is 13229. The reversal of 13219 is 91231.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13219 - 2¹ = 13217 is a prime.

It is a super-2 number, since 2×13219² = 349483922, which contains 22 as substring.

Together with 13217, it forms a pair of twin primes.

13219 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (13217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6609 + 6610.

It is an arithmetic number, because the mean of its divisors is an integer number (6610).

2¹³²¹⁹ is an apocalyptic number.

13219 is a deficient number, since it is larger than the sum of its proper divisors (1).

13219 is an equidigital number, since it uses as much as digits as its factorization.

13219 is an evil number, because the sum of its binary digits is even.

The product of its digits is 54, while the sum is 16.

The square root of 13219 is about 114.9739100840. The cubic root of 13219 is about 23.6446487900.

Subtracting from 13219 its sum of digits (16), we obtain a triangular number (13203 = T₁₆₂).

It can be divided in two parts, 132 and 19, that added together give a palindrome (151).

The spelling of 13219 in words is "thirteen thousand, two hundred nineteen".