13028938013 has 64 divisors (see below), whose sum is σ = 16859136000. Its totient is φ = 9793716480.

The previous prime is 13028937991. The next prime is 13028938033. The reversal of 13028938013 is 31083982031.

It is a cyclic number.

It is not a de Polignac number, because 13028938013 - 2³⁰ = 11955196189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13028938033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58425620 + ... + 58425842.

It is an arithmetic number, because the mean of its divisors is an integer number (263424000).

Almost surely, 2^13028938013 is an apocalyptic number.

13028938013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13028938013 is a deficient number, since it is larger than the sum of its proper divisors (3830197987).

13028938013 is a wasteful number, since it uses less digits than its factorization.

13028938013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562.

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 13028938013 in words is "thirteen billion, twenty-eight million, nine hundred thirty-eight thousand, thirteen".