131013220414311 has 12 divisors (see below), whose sum is σ = 192811909289688. Its totient is φ = 85694181905904.

The previous prime is 131013220414289. The next prime is 131013220414319. The reversal of 131013220414311 is 113414022310131.

131013220414311 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 3 + 220 + 4 + 1 + 431 + 1 = 666.

It is not a de Polignac number, because 131013220414311 - 2⁷ = 131013220414183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131013220414319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137330419245 + ... + 137330420198.

It is an arithmetic number, because the mean of its divisors is an integer number (16067659107474).

Almost surely, 2^{131013220414311} is an apocalyptic number.

131013220414311 is a deficient number, since it is larger than the sum of its proper divisors (61798688875377).

131013220414311 is a wasteful number, since it uses less digits than its factorization.

131013220414311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274660839502 (or 274660839499 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131013220414311 its reverse (113414022310131), we get a palindrome (244427242724442).

The spelling of 131013220414311 in words is "one hundred thirty-one trillion, thirteen billion, two hundred twenty million, four hundred fourteen thousand, three hundred eleven".