131524405313 has 12 divisors (see below), whose sum is σ = 153843079572. Its totient is φ = 112112350560.

The previous prime is 131524405301. The next prime is 131524405321. The reversal of 131524405313 is 313504425131.

It can be written as a sum of positive squares in 2 ways, for example, as 2425759504 + 129098645809 = 49252^2 + 359303^2 .

It is not a de Polignac number, because 131524405313 - 2⁴ = 131524405297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131524405313.

It is not an unprimeable number, because it can be changed into a prime (131524405333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7405970 + ... + 7423707.

It is an arithmetic number, because the mean of its divisors is an integer number (12820256631).

Almost surely, 2^131524405313 is an apocalyptic number.

It is an amenable number.

131524405313 is a deficient number, since it is larger than the sum of its proper divisors (22318674259).

131524405313 is a wasteful number, since it uses less digits than its factorization.

131524405313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14829872 (or 14829865 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 131524405313 in words is "one hundred thirty-one billion, five hundred twenty-four million, four hundred five thousand, three hundred thirteen".