131413402120221 has 24 divisors (see below), whose sum is σ = 205148324120376. Its totient is φ = 80581993067520.

The previous prime is 131413402120163. The next prime is 131413402120261. The reversal of 131413402120221 is 122021204314131.

131413402120221 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 13 + 402 + 1 + 20 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36210284100 + 131377191836121 = 190290^2 + 11461989^2 .

It is not a de Polignac number, because 131413402120221 - 2¹⁸ = 131413401858077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413402120261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1998528460 + ... + 1998594213.

It is an arithmetic number, because the mean of its divisors is an integer number (8547846838349).

Almost surely, 2^{131413402120221} is an apocalyptic number.

It is an amenable number.

131413402120221 is a deficient number, since it is larger than the sum of its proper divisors (73734922000155).

131413402120221 is a wasteful number, since it uses less digits than its factorization.

131413402120221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997122973 (or 3997122970 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131413402120221 its reverse (122021204314131), we get a palindrome (253434606434352).

The spelling of 131413402120221 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred two million, one hundred twenty thousand, two hundred twenty-one".