131604306201 has 64 divisors (see below), whose sum is σ = 202091086080. Its totient is φ = 85656916800.

The previous prime is 131604306181. The next prime is 131604306203. The reversal of 131604306201 is 102603406131.

131604306201 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 0 + 4 + 30 + 620 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-131604306201 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131604306203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24454531 + ... + 24459911.

It is an arithmetic number, because the mean of its divisors is an integer number (3157673220).

Almost surely, 2^131604306201 is an apocalyptic number.

It is an amenable number.

131604306201 is a deficient number, since it is larger than the sum of its proper divisors (70486779879).

131604306201 is an frugal number, since it uses more digits than its factorization.

131604306201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5666 (or 5648 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 131604306201 in words is "one hundred thirty-one billion, six hundred four million, three hundred six thousand, two hundred one".