13331155113331 has 8 divisors (see below), whose sum is σ = 14612002849728. Its totient is φ = 12061794801000.

The previous prime is 13331155113293. The next prime is 13331155113347.

13331155113331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13331155113331 - 2¹³ = 13331155105139 is a prime.

It is a super-2 number, since 2×13331155113331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331155113931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2871853585 + ... + 2871858226.

It is an arithmetic number, because the mean of its divisors is an integer number (1826500356216).

Almost surely, 2^{13331155113331} is an apocalyptic number.

13331155113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13331155113331 is a deficient number, since it is larger than the sum of its proper divisors (1280847736397).

13331155113331 is a wasteful number, since it uses less digits than its factorization.

13331155113331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743712033.

The product of its digits is 18225, while the sum is 34.

It can be divided in two parts, 1333115 and 5113331, that added together give a palindrome (6446446).

The spelling of 13331155113331 in words is "thirteen trillion, three hundred thirty-one billion, one hundred fifty-five million, one hundred thirteen thousand, three hundred thirty-one".