13011003113 has 16 divisors (see below), whose sum is σ = 13373919312. Its totient is φ = 12653280000.

The previous prime is 13011003107. The next prime is 13011003133. The reversal of 13011003113 is 31130011031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5090537104 + 7920466009 = 71348^2 + 88997^2 .

It is not a de Polignac number, because 13011003113 - 2²⁰ = 13009954537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13011003133) 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, 7472423 + ... + 7474163.

It is an arithmetic number, because the mean of its divisors is an integer number (835869957).

Almost surely, 2^13011003113 is an apocalyptic number.

It is an amenable number.

13011003113 is a deficient number, since it is larger than the sum of its proper divisors (362916199).

13011003113 is a wasteful number, since it uses less digits than its factorization.

13011003113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 13011003113 its reverse (31130011031), we get a palindrome (44141014144).

The spelling of 13011003113 in words is "thirteen billion, eleven million, three thousand, one hundred thirteen".