131312011311 has 24 divisors (see below), whose sum is σ = 204277731840. Its totient is φ = 80801614656.

The previous prime is 131312011297. The next prime is 131312011351. The reversal of 131312011311 is 113110213131.

131312011311 is a `hidden beast` number, since 1 + 31 + 312 + 0 + 11 + 311 = 666.

It is not a de Polignac number, because 131312011311 - 2³¹ = 129164527663 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131312011351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2080405 + ... + 2142593.

It is an arithmetic number, because the mean of its divisors is an integer number (8511572160).

Almost surely, 2^131312011311 is an apocalyptic number.

131312011311 is a deficient number, since it is larger than the sum of its proper divisors (72965720529).

131312011311 is a wasteful number, since it uses less digits than its factorization.

131312011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80255 (or 80252 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 131312011311 its reverse (113110213131), we get a palindrome (244422224442).

The spelling of 131312011311 in words is "one hundred thirty-one billion, three hundred twelve million, eleven thousand, three hundred eleven".