13313113111331 has 8 divisors (see below), whose sum is σ = 14832404550144. Its totient is φ = 11845323077320.

The previous prime is 13313113111321. The next prime is 13313113111351. The reversal of 13313113111331 is 13311131131331.

13313113111331 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 13313113111331 - 2⁶ = 13313113111267 is a prime.

It is a super-2 number, since 2×13313113111331² (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 13313113111331.

It is not an unprimeable number, because it can be changed into a prime (13313113111321) 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, 12875350655 + ... + 12875351688.

It is an arithmetic number, because the mean of its divisors is an integer number (1854050568768).

Almost surely, 2^{13313113111331} is an apocalyptic number.

13313113111331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13313113111331 is a deficient number, since it is larger than the sum of its proper divisors (1519291438813).

13313113111331 is a wasteful number, since it uses less digits than its factorization.

13313113111331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25750702401.

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

Adding to 13313113111331 its reverse (13311131131331), we get a palindrome (26624244242662).

The spelling of 13313113111331 in words is "thirteen trillion, three hundred thirteen billion, one hundred thirteen million, one hundred eleven thousand, three hundred thirty-one".