131413400204301 has 12 divisors (see below), whose sum is σ = 196364850880380. Its totient is φ = 84587935763520.

The previous prime is 131413400204279. The next prime is 131413400204309. The reversal of 131413400204301 is 103402004314131.

131413400204301 is a `hidden beast` number, since 1 + 3 + 1 + 413 + 40 + 0 + 204 + 3 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97973769348900 + 33439630855401 = 9898170^2 + 5782701^2 .

It is not a de Polignac number, because 131413400204301 - 2⁴³ = 122617307182093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413400204309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251749808560 + ... + 251749809081.

It is an arithmetic number, because the mean of its divisors is an integer number (16363737573365).

Almost surely, 2^{131413400204301} is an apocalyptic number.

It is an amenable number.

131413400204301 is a deficient number, since it is larger than the sum of its proper divisors (64951450676079).

131413400204301 is a wasteful number, since it uses less digits than its factorization.

131413400204301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503499617676 (or 503499617673 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131413400204301 its reverse (103402004314131), we get a palindrome (234815404518432).

The spelling of 131413400204301 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred million, two hundred four thousand, three hundred one".