31315233251313 has 48 divisors (see below), whose sum is σ = 49491897901056. Its totient is φ = 18922538740320.

The previous prime is 31315233251297. The next prime is 31315233251377.

31315233251313 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 5 + 2 + 332 + 5 + 1 + 313 = 666.

31315233251313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31315233251313 - 2⁴ = 31315233251297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31315233211313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149841870 + ... + 150050712.

It is an arithmetic number, because the mean of its divisors is an integer number (1031081206272).

Almost surely, 2^{31315233251313} is an apocalyptic number.

31315233251313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31315233251313 is a deficient number, since it is larger than the sum of its proper divisors (18176664649743).

31315233251313 is a wasteful number, since it uses less digits than its factorization.

31315233251313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213354 (or 213351 counting only the distinct ones).

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

It can be divided in two parts, 3131523 and 3251313, that added together give a palindrome (6382836).

The spelling of 31315233251313 in words is "thirty-one trillion, three hundred fifteen billion, two hundred thirty-three million, two hundred fifty-one thousand, three hundred thirteen".