131003958960 has 640 divisors, whose sum is σ = 534784819200. Its totient is φ = 28844605440.

The previous prime is 131003958941. The next prime is 131003958977. The reversal of 131003958960 is 69859300131.

131003958960 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 3 + 9 + 589 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129834936 + ... + 129835944.

It is an arithmetic number, because the mean of its divisors is an integer number (835601280).

Almost surely, 2^131003958960 is an apocalyptic number.

131003958960 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 131003958960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267392409600).

131003958960 is an abundant number, since it is smaller than the sum of its proper divisors (403780860240).

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

131003958960 is a wasteful number, since it uses less digits than its factorization.

131003958960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 131003958960 in words is "one hundred thirty-one billion, three million, nine hundred fifty-eight thousand, nine hundred sixty".