13057317 has 48 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 6777216.

The previous prime is 13057277. The next prime is 13057321. The reversal of 13057317 is 71375031.

It is not a de Polignac number, because 13057317 - 2²² = 8863013 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13057327) 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 47 ways as a sum of consecutive naturals, for example, 87559 + ... + 87707.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^13057317 is an apocalyptic number.

It is an amenable number.

13057317 is a deficient number, since it is larger than the sum of its proper divisors (10529883).

13057317 is a wasteful number, since it uses less digits than its factorization.

13057317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 13057317 is about 3613.4909713461. The cubic root of 13057317 is about 235.4785299642.

The spelling of 13057317 in words is "thirteen million, fifty-seven thousand, three hundred seventeen".