131587575128020 has 48 divisors (see below), whose sum is σ = 301457562932736. Its totient is φ = 47849647824000.

The previous prime is 131587575128011. The next prime is 131587575128021. The reversal of 131587575128020 is 20821575785131.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131587575128021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26211790 + ... + 30825850.

It is an arithmetic number, because the mean of its divisors is an integer number (6280365894432).

Almost surely, 2^{131587575128020} is an apocalyptic number.

131587575128020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131587575128020 is an abundant number, since it is smaller than the sum of its proper divisors (169869987804716).

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

131587575128020 is a wasteful number, since it uses less digits than its factorization.

131587575128020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4743712 (or 4743710 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 55.

The spelling of 131587575128020 in words is "one hundred thirty-one trillion, five hundred eighty-seven billion, five hundred seventy-five million, one hundred twenty-eight thousand, twenty".