131033003312113 has 12 divisors (see below), whose sum is σ = 156545772298932. Its totient is φ = 109278489247200.

The previous prime is 131033003312111. The next prime is 131033003312119. The reversal of 131033003312113 is 311213300330131.

It can be written as a sum of positive squares in 2 ways, for example, as 111443323715584 + 19589679596529 = 10556672^2 + 4426023^2 .

It is not a de Polignac number, because 131033003312113 - 2¹ = 131033003312111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131033003312111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36137064738 + ... + 36137068363.

It is an arithmetic number, because the mean of its divisors is an integer number (13045481024911).

Almost surely, 2^{131033003312113} is an apocalyptic number.

It is an amenable number.

131033003312113 is a deficient number, since it is larger than the sum of its proper divisors (25512768986819).

131033003312113 is an equidigital number, since it uses as much as digits as its factorization.

131033003312113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72274133152 (or 72274133145 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 131033003312113 its reverse (311213300330131), we get a palindrome (442246303642244).

The spelling of 131033003312113 in words is "one hundred thirty-one trillion, thirty-three billion, three million, three hundred twelve thousand, one hundred thirteen".