131422310502912 has 960 divisors, whose sum is σ = 455255155555200. Its totient is φ = 35969083637760.

The previous prime is 131422310502887. The next prime is 131422310502913. The reversal of 131422310502912 is 219205013224131.

131422310502912 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 2 + 310 + 50 + 291 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131422310502913) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13236203164 + ... + 13236213092.

It is an arithmetic number, because the mean of its divisors is an integer number (474224120370).

Almost surely, 2^{131422310502912} is an apocalyptic number.

131422310502912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131422310502912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227627577777600).

131422310502912 is an abundant number, since it is smaller than the sum of its proper divisors (323832845052288).

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

131422310502912 is a wasteful number, since it uses less digits than its factorization.

131422310502912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10409 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 131422310502912 in words is "one hundred thirty-one trillion, four hundred twenty-two billion, three hundred ten million, five hundred two thousand, nine hundred twelve".