131313000013 has 16 divisors (see below), whose sum is σ = 150330700800. Its totient is φ = 113695444800.

The previous prime is 131312999933. The next prime is 131313000019. The reversal of 131313000013 is 310000313131.

It is a cyclic number.

It is not a de Polignac number, because 131313000013 - 2⁹ = 131312999501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313000019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2606893 + ... + 2656786.

It is an arithmetic number, because the mean of its divisors is an integer number (9395668800).

Almost surely, 2^131313000013 is an apocalyptic number.

131313000013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131313000013 is a deficient number, since it is larger than the sum of its proper divisors (19017700787).

131313000013 is a wasteful number, since it uses less digits than its factorization.

131313000013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263812.

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

Adding to 131313000013 its reverse (310000313131), we get a palindrome (441313313144).

The spelling of 131313000013 in words is "one hundred thirty-one billion, three hundred thirteen million, thirteen", and thus it is an aban number.