131312133233112 has 64 divisors (see below), whose sum is σ = 353759436576000. Its totient is φ = 40377816710784.

The previous prime is 131312133233053. The next prime is 131312133233207. The reversal of 131312133233112 is 211332331213131.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 131312133233112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134495062 + ... + 135467877.

It is an arithmetic number, because the mean of its divisors is an integer number (5527491196500).

Almost surely, 2^{131312133233112} is an apocalyptic number.

131312133233112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131312133233112 is an abundant number, since it is smaller than the sum of its proper divisors (222447303342888).

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

131312133233112 is a wasteful number, since it uses less digits than its factorization.

131312133233112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269964520 (or 269964516 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

Adding to 131312133233112 its reverse (211332331213131), we get a palindrome (342644464446243).

The spelling of 131312133233112 in words is "one hundred thirty-one trillion, three hundred twelve billion, one hundred thirty-three million, two hundred thirty-three thousand, one hundred twelve".