13157103431 has 2 divisors, whose sum is σ = 13157103432. Its totient is φ = 13157103430.

The previous prime is 13157103397. The next prime is 13157103457. The reversal of 13157103431 is 13430175131.

13157103431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13157103431 - 2²² = 13152909127 is a prime.

It is a super-2 number, since 2×13157103431² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13157103394 and 13157103403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13157105431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6578551715 + 6578551716.

It is an arithmetic number, because the mean of its divisors is an integer number (6578551716).

Almost surely, 2^13157103431 is an apocalyptic number.

13157103431 is a deficient number, since it is larger than the sum of its proper divisors (1).

13157103431 is an equidigital number, since it uses as much as digits as its factorization.

13157103431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 29.

Adding to 13157103431 its reverse (13430175131), we get a palindrome (26587278562).

The spelling of 13157103431 in words is "thirteen billion, one hundred fifty-seven million, one hundred three thousand, four hundred thirty-one".