13000013013 has 16 divisors (see below), whose sum is σ = 18673986240. Its totient is φ = 7996879104.

The previous prime is 13000012981. The next prime is 13000013021. The reversal of 13000013013 is 31031000031.

It is not a de Polignac number, because 13000013013 - 2⁵ = 13000012981 is a prime.

13000013013 is a modest number, since divided by 13013 gives 13000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 13000013013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000013023) 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, 37870 + ... + 165632.

It is an arithmetic number, because the mean of its divisors is an integer number (1167124140).

Almost surely, 2^13000013013 is an apocalyptic number.

13000013013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13000013013 is a deficient number, since it is larger than the sum of its proper divisors (5673973227).

13000013013 is a wasteful number, since it uses less digits than its factorization.

13000013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130388.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13000013013 its reverse (31031000031), we get a palindrome (44031013044).

The spelling of 13000013013 in words is "thirteen billion, thirteen thousand, thirteen".