131701401025920 has 384 divisors, whose sum is σ = 496154498580000. Its totient is φ = 31925724610560.

The previous prime is 131701401025919. The next prime is 131701401025933. The reversal of 131701401025920 is 29520104107131.

It is a happy number.

131701401025920 is a `hidden beast` number, since 1 + 3 + 17 + 0 + 1 + 40 + 10 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1282925314 + ... + 1283027966.

Almost surely, 2^{131701401025920} is an apocalyptic number.

131701401025920 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 131701401025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248077249290000).

131701401025920 is an abundant number, since it is smaller than the sum of its proper divisors (364453097554080).

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

131701401025920 is a wasteful number, since it uses less digits than its factorization.

131701401025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122938 (or 122923 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 131701401025920 in words is "one hundred thirty-one trillion, seven hundred one billion, four hundred one million, twenty-five thousand, nine hundred twenty".