31213122131213 has 32 divisors (see below), whose sum is σ = 34920478733184. Its totient is φ = 27653724000000.

The previous prime is 31213122131207. The next prime is 31213122131273.

31213122131213 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-31213122131213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213122131273) 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, 701380463 + ... + 701424963.

It is an arithmetic number, because the mean of its divisors is an integer number (1091264960412).

Almost surely, 2^{31213122131213} is an apocalyptic number.

It is an amenable number.

31213122131213 is a deficient number, since it is larger than the sum of its proper divisors (3707356601971).

31213122131213 is a wasteful number, since it uses less digits than its factorization.

31213122131213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47837.

The product of its digits is 1296, while the sum is 26.

It can be divided in two parts, 3121312 and 2131213, that added together give a palindrome (5252525).

The spelling of 31213122131213 in words is "thirty-one trillion, two hundred thirteen billion, one hundred twenty-two million, one hundred thirty-one thousand, two hundred thirteen".