31123322332113 has 32 divisors (see below), whose sum is σ = 47654954058240. Its totient is φ = 17869092514560.

The previous prime is 31123322332073. The next prime is 31123322332169.

31123322332113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31123322332113 - 2¹⁸ = 31123322069969 is a prime.

It is a super-2 number, since 2×31123322332113² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31123322339113) 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, 13918006 + ... + 15998672.

It is an arithmetic number, because the mean of its divisors is an integer number (1489217314320).

Almost surely, 2^{31123322332113} is an apocalyptic number.

31123322332113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31123322332113 is a deficient number, since it is larger than the sum of its proper divisors (16531631726127).

31123322332113 is a wasteful number, since it uses less digits than its factorization.

31123322332113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104557.

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 3112332 and 2332113, that added together give a palindrome (5444445).

The spelling of 31123322332113 in words is "thirty-one trillion, one hundred twenty-three billion, three hundred twenty-two million, three hundred thirty-two thousand, one hundred thirteen".