131278704069920 has 288 divisors, whose sum is σ = 353261200622400. Its totient is φ = 46012946524160.

The previous prime is 131278704069857. The next prime is 131278704069937. The reversal of 131278704069920 is 29960407872131.

It is a self number, because there is not a number n which added to its sum of digits gives 131278704069920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329366111 + ... + 329764449.

It is an arithmetic number, because the mean of its divisors is an integer number (1226601391050).

Almost surely, 2^{131278704069920} is an apocalyptic number.

131278704069920 is a gapful number since it is divisible by the number (10) 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 131278704069920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176630600311200).

131278704069920 is an abundant number, since it is smaller than the sum of its proper divisors (221982496552480).

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

131278704069920 is a wasteful number, since it uses less digits than its factorization.

131278704069920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398992 (or 398973 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 59.

The spelling of 131278704069920 in words is "one hundred thirty-one trillion, two hundred seventy-eight billion, seven hundred four million, sixty-nine thousand, nine hundred twenty".