31431877813413 has 32 divisors (see below), whose sum is σ = 58055993656320. Its totient is φ = 16328248213680.

The previous prime is 31431877813397. The next prime is 31431877813417.

31431877813413 is a `hidden beast` number, since 3 + 1 + 43 + 187 + 7 + 8 + 1 + 3 + 413 = 666.

31431877813413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31431877813413 - 2⁴ = 31431877813397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31431877813413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31431877813417) 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 31 ways as a sum of consecutive naturals, for example, 7559372095 + ... + 7559376252.

It is an arithmetic number, because the mean of its divisors is an integer number (1814249801760).

Almost surely, 2^{31431877813413} is an apocalyptic number.

31431877813413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31431877813413 is a deficient number, since it is larger than the sum of its proper divisors (26624115842907).

31431877813413 is a wasteful number, since it uses less digits than its factorization.

31431877813413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15118748374 (or 15118748368 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 31431877813413 in words is "thirty-one trillion, four hundred thirty-one billion, eight hundred seventy-seven million, eight hundred thirteen thousand, four hundred thirteen".