13131300013 has 32 divisors (see below), whose sum is σ = 14938398720. Its totient is φ = 11458860480.

The previous prime is 13131299959. The next prime is 13131300029. The reversal of 13131300013 is 31000313131.

It is a cyclic number.

It is not a de Polignac number, because 13131300013 - 2⁹ = 13131299501 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13131300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131300073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3969106 + ... + 3972412.

It is an arithmetic number, because the mean of its divisors is an integer number (466824960).

Almost surely, 2^13131300013 is an apocalyptic number.

13131300013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13131300013 is a deficient number, since it is larger than the sum of its proper divisors (1807098707).

13131300013 is a wasteful number, since it uses less digits than its factorization.

13131300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13131300013 its reverse (31000313131), we get a palindrome (44131613144).

The spelling of 13131300013 in words is "thirteen billion, one hundred thirty-one million, three hundred thousand, thirteen".