131031101312112 has 40 divisors (see below), whose sum is σ = 338501818512400. Its totient is φ = 43676413539840.

The previous prime is 131031101312093. The next prime is 131031101312129. The reversal of 131031101312112 is 211213101130131.

It is a super-2 number, since 2×131031101312112² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15960589 + ... + 22733292.

It is an arithmetic number, because the mean of its divisors is an integer number (8462545462810).

Almost surely, 2^{131031101312112} is an apocalyptic number.

131031101312112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131031101312112 is an abundant number, since it is smaller than the sum of its proper divisors (207470717200288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131031101312112 is a wasteful number, since it uses less digits than its factorization.

131031101312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38764441 (or 38764435 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 131031101312112 its reverse (211213101130131), we get a palindrome (342244202442243).

The spelling of 131031101312112 in words is "one hundred thirty-one trillion, thirty-one billion, one hundred one million, three hundred twelve thousand, one hundred twelve".