13331111113331 has 24 divisors (see below), whose sum is σ = 14705341582512. Its totient is φ = 12076147828800.

The previous prime is 13331111113289. The next prime is 13331111113337.

13331111113331 is nontrivially palindromic in base 10.

13331111113331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13331111113331 - 2¹⁰ = 13331111112307 is a prime.

It is a super-2 number, since 2×13331111113331² (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 13331111113331.

It is not an unprimeable number, because it can be changed into a prime (13331111113337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38252141 + ... + 38599073.

It is an arithmetic number, because the mean of its divisors is an integer number (612722565938).

Almost surely, 2^{13331111113331} is an apocalyptic number.

13331111113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13331111113331 is a deficient number, since it is larger than the sum of its proper divisors (1374230469181).

13331111113331 is a wasteful number, since it uses less digits than its factorization.

13331111113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348083 (or 348072 counting only the distinct ones).

The product of its digits is 729, while the sum is 26.

It can be divided in two parts, 1333111 and 1113331, that added together give a palindrome (2446442).

The spelling of 13331111113331 in words is "thirteen trillion, three hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, three hundred thirty-one".