131134114301013 has 48 divisors (see below), whose sum is σ = 199474366291200. Its totient is φ = 82784517298560.

The previous prime is 131134114300979. The next prime is 131134114301083. The reversal of 131134114301013 is 310103411431131.

131134114301013 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 341 + 1 + 4 + 301 + 0 + 13 = 666.

It is not a de Polignac number, because 131134114301013 - 2¹⁷ = 131134114169941 is a prime.

It is a super-2 number, since 2×131134114301013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131134114301083) 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 47 ways as a sum of consecutive naturals, for example, 4696934868 + ... + 4696962786.

It is an arithmetic number, because the mean of its divisors is an integer number (4155715964400).

Almost surely, 2^{131134114301013} is an apocalyptic number.

It is an amenable number.

131134114301013 is a deficient number, since it is larger than the sum of its proper divisors (68340251990187).

131134114301013 is a wasteful number, since it uses less digits than its factorization.

131134114301013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39242 (or 39239 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 131134114301013 its reverse (310103411431131), we get a palindrome (441237525732144).

The spelling of 131134114301013 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, one hundred fourteen million, three hundred one thousand, thirteen".