13011133310013 has 16 divisors (see below), whose sum is σ = 17675960901120. Its totient is φ = 8510205797184.

The previous prime is 13011133309939. The next prime is 13011133310017. The reversal of 13011133310013 is 31001333111031.

It is not a de Polignac number, because 13011133310013 - 2²² = 13011129115709 is a prime.

It is a super-4 number, since 4×13011133310013⁴ (a number of 54 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13011133310017) 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, 5194420 + ... + 7280402.

It is an arithmetic number, because the mean of its divisors is an integer number (1104747556320).

Almost surely, 2^{13011133310013} is an apocalyptic number.

It is an amenable number.

13011133310013 is a deficient number, since it is larger than the sum of its proper divisors (4664827591107).

13011133310013 is a wasteful number, since it uses less digits than its factorization.

13011133310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125268.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 13011133310013 its reverse (31001333111031), we get a palindrome (44012466421044).

The spelling of 13011133310013 in words is "thirteen trillion, eleven billion, one hundred thirty-three million, three hundred ten thousand, thirteen".