13000111133013 has 160 divisors (see below), whose sum is σ = 21421085672448. Its totient is φ = 7823634739200.

The previous prime is 13000111132963. The next prime is 13000111133017. The reversal of 13000111133013 is 31033111100031.

13000111133013 is a `hidden beast` number, since 1 + 300 + 0 + 11 + 11 + 330 + 13 = 666.

It is not a de Polignac number, because 13000111133013 - 2¹⁰ = 13000111131989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000111133017) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1471095631 + ... + 1471104467.

Almost surely, 2^{13000111133013} is an apocalyptic number.

It is an amenable number.

13000111133013 is a deficient number, since it is larger than the sum of its proper divisors (8420974539435).

13000111133013 is a wasteful number, since it uses less digits than its factorization.

13000111133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9345 (or 9336 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13000111133013 its reverse (31033111100031), we get a palindrome (44033222233044).

The spelling of 13000111133013 in words is "thirteen trillion, one hundred eleven million, one hundred thirty-three thousand, thirteen".