13013013013 has 48 divisors (see below), whose sum is σ = 17743750272. Its totient is φ = 9266400000.

The previous prime is 13013012989. The next prime is 13013013029. The reversal of 13013013013 is 31031031031.

It is not a de Polignac number, because 13013013013 - 2³³ = 4423078421 is a prime.

It is a Duffinian number.

13013013013 is a modest number, since divided by 13013013 gives 13 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013013043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1309363 + ... + 1319263.

It is an arithmetic number, because the mean of its divisors is an integer number (369661464).

Almost surely, 2^13013013013 is an apocalyptic number.

13013013013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13013013013 is a deficient number, since it is larger than the sum of its proper divisors (4730737259).

13013013013 is a wasteful number, since it uses less digits than its factorization.

13013013013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13013013013 its reverse (31031031031), we get a palindrome (44044044044).

The spelling of 13013013013 in words is "thirteen billion, thirteen million, thirteen thousand, thirteen".