315231303132513 has 24 divisors (see below), whose sum is σ = 460050722217216. Its totient is φ = 207979187220000.

The previous prime is 315231303132497. The next prime is 315231303132673.

315231303132513 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 3 + 1 + 3 + 0 + 3 + 132 + 513 = 666.

315231303132513 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 315231303132513 - 2⁴ = 315231303132497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (315231303132913) 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 23 ways as a sum of consecutive naturals, for example, 76559563 + ... + 80571888.

It is an arithmetic number, because the mean of its divisors is an integer number (19168780092384).

Almost surely, 2^{315231303132513} is an apocalyptic number.

It is an amenable number.

315231303132513 is a deficient number, since it is larger than the sum of its proper divisors (144819419084703).

315231303132513 is a wasteful number, since it uses less digits than its factorization.

315231303132513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157133765 (or 157133762 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

It can be divided in two parts, 31523130 and 3132513, that added together give a palindrome (34655643).

The spelling of 315231303132513 in words is "three hundred fifteen trillion, two hundred thirty-one billion, three hundred three million, one hundred thirty-two thousand, five hundred thirteen".