31122122122113 has 32 divisors (see below), whose sum is σ = 45856515588480. Its totient is φ = 18617637519360.

The previous prime is 31122122122057. The next prime is 31122122122141.

31122122122113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31122122122113 - 2²⁸ = 31121853686657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31122122122913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7487820 + ... + 10877117.

It is an arithmetic number, because the mean of its divisors is an integer number (1433016112140).

Almost surely, 2^{31122122122113} is an apocalyptic number.

31122122122113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31122122122113 is a deficient number, since it is larger than the sum of its proper divisors (14734393466367).

31122122122113 is a wasteful number, since it uses less digits than its factorization.

31122122122113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18365617.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 3112212 and 2122113, that added together give a palindrome (5234325).

The spelling of 31122122122113 in words is "thirty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred thirteen".