31102111120113 has 24 divisors (see below), whose sum is σ = 49026063209760. Its totient is φ = 18843350472960.

The previous prime is 31102111120061. The next prime is 31102111120177.

31102111120113 is a `hidden beast` number, since 311 + 0 + 211 + 11 + 20 + 113 = 666.

31102111120113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31102111120113 - 2⁸ = 31102111119857 is a prime.

It is a super-2 number, since 2×31102111120113² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31102116120113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53156256 + ... + 53738177.

It is an arithmetic number, because the mean of its divisors is an integer number (2042752633740).

Almost surely, 2^{31102111120113} is an apocalyptic number.

31102111120113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31102111120113 is a deficient number, since it is larger than the sum of its proper divisors (17923952089647).

31102111120113 is a wasteful number, since it uses less digits than its factorization.

31102111120113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106897389 (or 106897386 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, 3110211 and 1120113, that added together give a palindrome (4230324).

The spelling of 31102111120113 in words is "thirty-one trillion, one hundred two billion, one hundred eleven million, one hundred twenty thousand, one hundred thirteen".