131413022437312 has 504 divisors, whose sum is σ = 335399282955744. Its totient is φ = 50898710016000.

The previous prime is 131413022437283. The next prime is 131413022437339. The reversal of 131413022437312 is 213734220314131.

It is a happy number.

It is a super-2 number, since 2×131413022437312² (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 71 ways as a sum of consecutive naturals, for example, 56864136637 + ... + 56864138947.

Almost surely, 2^{131413022437312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131413022437312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167699641477872).

131413022437312 is an abundant number, since it is smaller than the sum of its proper divisors (203986260518432).

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

131413022437312 is a wasteful number, since it uses less digits than its factorization.

131413022437312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 131413022437312 in words is "one hundred thirty-one trillion, four hundred thirteen billion, twenty-two million, four hundred thirty-seven thousand, three hundred twelve".