13057113 has 16 divisors (see below), whose sum is σ = 17971200. Its totient is φ = 8428560.

The previous prime is 13057081. The next prime is 13057127. The reversal of 13057113 is 31175031.

It is not a de Polignac number, because 13057113 - 2⁵ = 13057081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13057113.

It is not an unprimeable number, because it can be changed into a prime (13057153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12048 + ... + 13086.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 2^13057113 is an apocalyptic number.

It is an amenable number.

13057113 is a deficient number, since it is larger than the sum of its proper divisors (4914087).

13057113 is a wasteful number, since it uses less digits than its factorization.

13057113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172.

The product of its (nonzero) digits is 315, while the sum is 21.

The square root of 13057113 is about 3613.4627436851. The cubic root of 13057113 is about 235.4773036308.

The spelling of 13057113 in words is "thirteen million, fifty-seven thousand, one hundred thirteen".