13311311101113 has 16 divisors (see below), whose sum is σ = 17766661431680. Its totient is φ = 8865088239744.

The previous prime is 13311311101093. The next prime is 13311311101169. The reversal of 13311311101113 is 31110111311331.

It is not a de Polignac number, because 13311311101113 - 2³⁷ = 13173872147641 is a prime.

It is a super-2 number, since 2×13311311101113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13311311101113.

It is not an unprimeable number, because it can be changed into a prime (13311311101013) 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, 12355068 + ... + 13389186.

It is an arithmetic number, because the mean of its divisors is an integer number (1110416339480).

Almost surely, 2^{13311311101113} is an apocalyptic number.

It is an amenable number.

13311311101113 is a deficient number, since it is larger than the sum of its proper divisors (4455350330567).

13311311101113 is a wasteful number, since it uses less digits than its factorization.

13311311101113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038528.

The product of its (nonzero) digits is 81, while the sum is 21.

Adding to 13311311101113 its reverse (31110111311331), we get a palindrome (44421422412444).

The spelling of 13311311101113 in words is "thirteen trillion, three hundred eleven billion, three hundred eleven million, one hundred one thousand, one hundred thirteen".