31012111121013 has 24 divisors (see below), whose sum is σ = 50443942238976. Its totient is φ = 18188921476800.

The previous prime is 31012111121003. The next prime is 31012111121063.

31012111121013 is a `hidden beast` number, since 310 + 1 + 21 + 111 + 210 + 13 = 666.

31012111121013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31012111121013 - 2⁴ = 31012111120997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012111121003) 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, 5052475120 + ... + 5052481257.

It is an arithmetic number, because the mean of its divisors is an integer number (2101830926624).

Almost surely, 2^{31012111121013} is an apocalyptic number.

31012111121013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31012111121013 is a deficient number, since it is larger than the sum of its proper divisors (19431831117963).

31012111121013 is a wasteful number, since it uses less digits than its factorization.

31012111121013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10104956425 (or 10104956422 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, 3101211 and 1121013, that added together give a palindrome (4222224).

The spelling of 31012111121013 in words is "thirty-one trillion, twelve billion, one hundred eleven million, one hundred twenty-one thousand, thirteen".