13157431 has 6 divisors (see below), whose sum is σ = 15305640. Its totient is φ = 11277756.

The previous prime is 13157399. The next prime is 13157437. The reversal of 13157431 is 13475131.

It is not a de Polignac number, because 13157431 - 2⁵ = 13157399 is a prime.

It is a super-3 number, since 3×13157431³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13157396 and 13157405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13157437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 134211 + ... + 134308.

It is an arithmetic number, because the mean of its divisors is an integer number (2550940).

Almost surely, 2^13157431 is an apocalyptic number.

13157431 is a deficient number, since it is larger than the sum of its proper divisors (2148209).

13157431 is an equidigital number, since it uses as much as digits as its factorization.

13157431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268533 (or 268526 counting only the distinct ones).

The product of its digits is 1260, while the sum is 25.

The square root of 13157431 is about 3627.3173282744. The cubic root of 13157431 is about 236.0788243351.

The spelling of 13157431 in words is "thirteen million, one hundred fifty-seven thousand, four hundred thirty-one".