131300032113 has 24 divisors (see below), whose sum is σ = 189902206728. Its totient is φ = 87419630592.

The previous prime is 131300032103. The next prime is 131300032177. The reversal of 131300032113 is 311230003131.

It is a happy number.

131300032113 is a `hidden beast` number, since 1 + 31 + 300 + 0 + 321 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2355840369 + 128944191744 = 48537^2 + 359088^2 .

It is not a de Polignac number, because 131300032113 - 2¹⁷ = 131299901041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131300032103) 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, 34253245 + ... + 34257077.

It is an arithmetic number, because the mean of its divisors is an integer number (7912591947).

Almost surely, 2^131300032113 is an apocalyptic number.

It is an amenable number.

131300032113 is a deficient number, since it is larger than the sum of its proper divisors (58602174615).

131300032113 is a wasteful number, since it uses less digits than its factorization.

131300032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131300032113 its reverse (311230003131), we get a palindrome (442530035244).

The spelling of 131300032113 in words is "one hundred thirty-one billion, three hundred million, thirty-two thousand, one hundred thirteen".