131002434310221 has 12 divisors (see below), whose sum is σ = 189231660124572. Its totient is φ = 87332223125376.

The previous prime is 131002434310207. The next prime is 131002434310229. The reversal of 131002434310221 is 122013434200131.

131002434310221 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 2 + 4 + 3 + 431 + 0 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78183174515625 + 52819259794596 = 8842125^2 + 7267686^2 .

It is not a de Polignac number, because 131002434310221 - 2⁷ = 131002434310093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002434310229) 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, 227453196 + ... + 228028421.

It is an arithmetic number, because the mean of its divisors is an integer number (15769305010381).

Almost surely, 2^{131002434310221} is an apocalyptic number.

It is an amenable number.

131002434310221 is a deficient number, since it is larger than the sum of its proper divisors (58229225814351).

131002434310221 is a wasteful number, since it uses less digits than its factorization.

131002434310221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455513580 (or 455513577 counting only the distinct ones).

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

Adding to 131002434310221 its reverse (122013434200131), we get a palindrome (253015868510352).

The spelling of 131002434310221 in words is "one hundred thirty-one trillion, two billion, four hundred thirty-four million, three hundred ten thousand, two hundred twenty-one".