31122000022113 has 144 divisors (see below), whose sum is σ = 60822183047808. Its totient is φ = 14921892057600.

The previous prime is 31122000022109. The next prime is 31122000022129.

31122000022113 is a `hidden beast` number, since 311 + 220 + 0 + 0 + 0 + 22 + 113 = 666.

31122000022113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31122000022113 - 2² = 31122000022109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31122000022103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1345455558 + ... + 1345478688.

Almost surely, 2^{31122000022113} is an apocalyptic number.

31122000022113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31122000022113 is a deficient number, since it is larger than the sum of its proper divisors (29700183025695).

31122000022113 is a wasteful number, since it uses less digits than its factorization.

31122000022113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36756 (or 36742 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 311220000 and 22113, that added together give a palindrome (311242113).

The spelling of 31122000022113 in words is "thirty-one trillion, one hundred twenty-two billion, twenty-two thousand, one hundred thirteen".