131255624282112 has 1092 divisors, whose sum is σ = 447519257307360. Its totient is φ = 38399833866240.

The previous prime is 131255624282071. The next prime is 131255624282201. The reversal of 131255624282112 is 211282426552131.

131255624282112 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 5 + 5 + 6 + 2 + 428 + 211 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 10477811593 + ... + 10477824119.

Almost surely, 2^{131255624282112} is an apocalyptic number.

131255624282112 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 131255624282112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223759628653680).

131255624282112 is an abundant number, since it is smaller than the sum of its proper divisors (316263633025248).

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

131255624282112 is an equidigital number, since it uses as much as digits as its factorization.

131255624282112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12620 (or 12572 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The spelling of 131255624282112 in words is "one hundred thirty-one trillion, two hundred fifty-five billion, six hundred twenty-four million, two hundred eighty-two thousand, one hundred twelve".