31132112131013 has 32 divisors (see below), whose sum is σ = 33602734080000. Its totient is φ = 28737643574016.

The previous prime is 31132112130949. The next prime is 31132112131031. The reversal of 31132112131013 is 31013121123113.

It is a cyclic number.

It is not a de Polignac number, because 31132112131013 - 2⁶ = 31132112130949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31132112131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132112131063) 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, 437563520 + ... + 437634662.

It is an arithmetic number, because the mean of its divisors is an integer number (1050085440000).

Almost surely, 2^{31132112131013} is an apocalyptic number.

It is an amenable number.

31132112131013 is a deficient number, since it is larger than the sum of its proper divisors (2470621948987).

31132112131013 is a wasteful number, since it uses less digits than its factorization.

31132112131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73401.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 31132112131013 its reverse (31013121123113), we get a palindrome (62145233254126).

The spelling of 31132112131013 in words is "thirty-one trillion, one hundred thirty-two billion, one hundred twelve million, one hundred thirty-one thousand, thirteen".