131381945125 has 16 divisors (see below), whose sum is σ = 167058348912. Its totient is φ = 103122427200.

The previous prime is 131381945077. The next prime is 131381945137. The reversal of 131381945125 is 521549183131.

It can be written as a sum of positive squares in 8 ways, for example, as 2632305636 + 128749639489 = 51306^2 + 358817^2 .

It is not a de Polignac number, because 131381945125 - 2²⁷ = 131247727397 is a prime.

It is a super-2 number, since 2×131381945125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9908994 + ... + 9922243.

It is an arithmetic number, because the mean of its divisors is an integer number (10441146807).

Almost surely, 2^131381945125 is an apocalyptic number.

It is an amenable number.

131381945125 is a deficient number, since it is larger than the sum of its proper divisors (35676403787).

131381945125 is an equidigital number, since it uses as much as digits as its factorization.

131381945125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19831305 (or 19831295 counting only the distinct ones).

The product of its digits is 129600, while the sum is 43.

The spelling of 131381945125 in words is "one hundred thirty-one billion, three hundred eighty-one million, nine hundred forty-five thousand, one hundred twenty-five".