131872976762013 has 16 divisors (see below), whose sum is σ = 201669546304000. Its totient is φ = 85079339845920.

The previous prime is 131872976761993. The next prime is 131872976762029. The reversal of 131872976762013 is 310267679278131.

131872976762013 is a `hidden beast` number, since 1 + 3 + 1 + 87 + 297 + 67 + 6 + 201 + 3 = 666.

It is not a de Polignac number, because 131872976762013 - 2²¹ = 131872974664861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131872976762113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78777165688 + ... + 78777167361.

It is an arithmetic number, because the mean of its divisors is an integer number (12604346644000).

Almost surely, 2^{131872976762013} is an apocalyptic number.

It is an amenable number.

131872976762013 is a deficient number, since it is larger than the sum of its proper divisors (69796569541987).

131872976762013 is a wasteful number, since it uses less digits than its factorization.

131872976762013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157554333089 (or 157554333083 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 131872976762013 in words is "one hundred thirty-one trillion, eight hundred seventy-two billion, nine hundred seventy-six million, seven hundred sixty-two thousand, thirteen".