13331311112319 has 16 divisors (see below), whose sum is σ = 17805118800000. Its totient is φ = 8872525802016.

The previous prime is 13331311112293. The next prime is 13331311112341. The reversal of 13331311112319 is 91321111313331.

It is not a de Polignac number, because 13331311112319 - 2¹⁹ = 13331310588031 is a prime.

It is a super-2 number, since 2×13331311112319² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13331311112319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331311112369) 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, 14004777 + ... + 14926365.

It is an arithmetic number, because the mean of its divisors is an integer number (1112819925000).

Almost surely, 2^{13331311112319} is an apocalyptic number.

13331311112319 is a deficient number, since it is larger than the sum of its proper divisors (4473807687681).

13331311112319 is an equidigital number, since it uses as much as digits as its factorization.

13331311112319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929734.

The product of its digits is 4374, while the sum is 33.

The spelling of 13331311112319 in words is "thirteen trillion, three hundred thirty-one billion, three hundred eleven million, one hundred twelve thousand, three hundred nineteen".