13015235013 has 64 divisors (see below), whose sum is σ = 19576166400. Its totient is φ = 7625376000.

The previous prime is 13015234997. The next prime is 13015235039. The reversal of 13015235013 is 31053251031.

13015235013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13015235013 - 2⁴ = 13015234997 is a prime.

It is a super-2 number, since 2×13015235013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13015235113) 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 63 ways as a sum of consecutive naturals, for example, 37292763 + ... + 37293111.

It is an arithmetic number, because the mean of its divisors is an integer number (305877600).

Almost surely, 2^13015235013 is an apocalyptic number.

It is an amenable number.

13015235013 is a deficient number, since it is larger than the sum of its proper divisors (6560931387).

13015235013 is a wasteful number, since it uses less digits than its factorization.

13015235013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698.

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 13015235013 its reverse (31053251031), we get a palindrome (44068486044).

It can be divided in two parts, 1301523 and 5013, that added together give a triangular number (1306536 = T₁₆₁₆).

The spelling of 13015235013 in words is "thirteen billion, fifteen million, two hundred thirty-five thousand, thirteen".