13131506513 has 16 divisors (see below), whose sum is σ = 13575859200. Its totient is φ = 12696097920.

The previous prime is 13131506483. The next prime is 13131506519. The reversal of 13131506513 is 31560513131.

13131506513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13131506513 - 2¹⁸ = 13131244369 is a prime.

It is a super-2 number, since 2×13131506513² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131506519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 996395 + ... + 1009487.

It is an arithmetic number, because the mean of its divisors is an integer number (848491200).

Almost surely, 2^13131506513 is an apocalyptic number.

It is an amenable number.

13131506513 is a deficient number, since it is larger than the sum of its proper divisors (444352687).

13131506513 is a wasteful number, since it uses less digits than its factorization.

13131506513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13432.

The product of its (nonzero) digits is 4050, while the sum is 29.

The spelling of 13131506513 in words is "thirteen billion, one hundred thirty-one million, five hundred six thousand, five hundred thirteen".