131516345127 has 16 divisors (see below), whose sum is σ = 177344087040. Its totient is φ = 86683291200.

The previous prime is 131516345113. The next prime is 131516345141. The reversal of 131516345127 is 721543615131.

It is an interprime number because it is at equal distance from previous prime (131516345113) and next prime (131516345141).

It is not a de Polignac number, because 131516345127 - 2⁴ = 131516345111 is a prime.

It is a super-2 number, since 2×131516345127² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131516345227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3320752 + ... + 3360122.

It is an arithmetic number, because the mean of its divisors is an integer number (11084005440).

Almost surely, 2^131516345127 is an apocalyptic number.

131516345127 is a deficient number, since it is larger than the sum of its proper divisors (45827741913).

131516345127 is a wasteful number, since it uses less digits than its factorization.

131516345127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51974.

The product of its digits is 75600, while the sum is 39.

The spelling of 131516345127 in words is "one hundred thirty-one billion, five hundred sixteen million, three hundred forty-five thousand, one hundred twenty-seven".