31111022011113 has 24 divisors (see below), whose sum is σ = 49051881259680. Its totient is φ = 18844221533760.

The previous prime is 31111022011087. The next prime is 31111022011189.

31111022011113 is a `hidden beast` number, since 311 + 1 + 10 + 220 + 11 + 113 = 666.

31111022011113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31111022011113 - 2⁸ = 31111022010857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31111022011613) 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 23 ways as a sum of consecutive naturals, for example, 91022908 + ... + 91364061.

It is an arithmetic number, because the mean of its divisors is an integer number (2043828385820).

Almost surely, 2^{31111022011113} is an apocalyptic number.

31111022011113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31111022011113 is a deficient number, since it is larger than the sum of its proper divisors (17940859248567).

31111022011113 is a wasteful number, since it uses less digits than its factorization.

31111022011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182388709 (or 182388706 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 3111102 and 2011113, that added together give a palindrome (5122215).

The spelling of 31111022011113 in words is "thirty-one trillion, one hundred eleven billion, twenty-two million, eleven thousand, one hundred thirteen".