13311121313311 has 8 divisors (see below), whose sum is σ = 13314212326800. Its totient is φ = 13308030590400.

The previous prime is 13311121313257. The next prime is 13311121313333. The reversal of 13311121313311 is 11331312111331.

13311121313311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13311121313311 - 2¹⁹ = 13311120789023 is a prime.

It is a super-2 number, since 2×13311121313311² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311121313341) 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, 110342235 + ... + 110462803.

It is an arithmetic number, because the mean of its divisors is an integer number (1664276540850).

Almost surely, 2^{13311121313311} is an apocalyptic number.

13311121313311 is a deficient number, since it is larger than the sum of its proper divisors (3091013489).

13311121313311 is a wasteful number, since it uses less digits than its factorization.

13311121313311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145289.

The product of its digits is 486, while the sum is 25.

Adding to 13311121313311 its reverse (11331312111331), we get a palindrome (24642433424642).

The spelling of 13311121313311 in words is "thirteen trillion, three hundred eleven billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred eleven".