13013012013 has 16 divisors (see below), whose sum is σ = 18108764160. Its totient is φ = 8296455024.

The previous prime is 13013011943. The next prime is 13013012029. The reversal of 13013012013 is 31021031031.

13013012013 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 13013012013 - 2⁸ = 13013011757 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13013011983 and 13013012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013012053) 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, 379848 + ... + 412686.

It is an arithmetic number, because the mean of its divisors is an integer number (1131797760).

Almost surely, 2^13013012013 is an apocalyptic number.

It is an amenable number.

13013012013 is a deficient number, since it is larger than the sum of its proper divisors (5095752147).

13013012013 is a wasteful number, since it uses less digits than its factorization.

13013012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38608.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13013012013 its reverse (31021031031), we get a palindrome (44034043044).

The spelling of 13013012013 in words is "thirteen billion, thirteen million, twelve thousand, thirteen".