131302133030013 has 64 divisors (see below), whose sum is σ = 201674239672320. Its totient is φ = 75149949312000.

The previous prime is 131302133029987. The next prime is 131302133030063. The reversal of 131302133030013 is 310030331203131.

It is not a de Polignac number, because 131302133030013 - 2²⁵ = 131302099475581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131302133030063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432342145 + ... + 432645737.

It is an arithmetic number, because the mean of its divisors is an integer number (3151159994880).

Almost surely, 2^{131302133030013} is an apocalyptic number.

It is an amenable number.

131302133030013 is a deficient number, since it is larger than the sum of its proper divisors (70372106642307).

131302133030013 is a wasteful number, since it uses less digits than its factorization.

131302133030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305810.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131302133030013 its reverse (310030331203131), we get a palindrome (441332464233144).

The spelling of 131302133030013 in words is "one hundred thirty-one trillion, three hundred two billion, one hundred thirty-three million, thirty thousand, thirteen".