13011112010013 has 16 divisors (see below), whose sum is σ = 18683591015040. Its totient is φ = 8006423027904.

The previous prime is 13011112009997. The next prime is 13011112010023. The reversal of 13011112010013 is 31001021111031.

It is not a de Polignac number, because 13011112010013 - 2⁴ = 13011112009997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13011112009974 and 13011112010001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011112010023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7885881 + ... + 9391982.

It is an arithmetic number, because the mean of its divisors is an integer number (1167724438440).

Almost surely, 2^{13011112010013} is an apocalyptic number.

13011112010013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13011112010013 is a deficient number, since it is larger than the sum of its proper divisors (5672479005027).

13011112010013 is a wasteful number, since it uses less digits than its factorization.

13011112010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17297188.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 13011112010013 its reverse (31001021111031), we get a palindrome (44012133121044).

The spelling of 13011112010013 in words is "thirteen trillion, eleven billion, one hundred twelve million, ten thousand, thirteen".