131413101421311 has 32 divisors (see below), whose sum is σ = 195091454154240. Its totient is φ = 87426346939200.

The previous prime is 131413101421289. The next prime is 131413101421313. The reversal of 131413101421311 is 113124101314131.

131413101421311 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 310 + 14 + 21 + 311 = 666.

It is not a de Polignac number, because 131413101421311 - 2²⁵ = 131413067866879 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413101421313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145831771 + ... + 146730131.

It is an arithmetic number, because the mean of its divisors is an integer number (6096607942320).

Almost surely, 2^{131413101421311} is an apocalyptic number.

131413101421311 is a deficient number, since it is larger than the sum of its proper divisors (63678352732929).

131413101421311 is a wasteful number, since it uses less digits than its factorization.

131413101421311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909644 (or 909638 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 131413101421311 its reverse (113124101314131), we get a palindrome (244537202735442).

The spelling of 131413101421311 in words is "one hundred thirty-one trillion, four hundred thirteen billion, one hundred one million, four hundred twenty-one thousand, three hundred eleven".