13321331033311 has 12 divisors (see below), whose sum is σ = 15496462948368. Its totient is φ = 11418121102752.

The previous prime is 13321331033299. The next prime is 13321331033323. The reversal of 13321331033311 is 11333013312331.

It is an interprime number because it is at equal distance from previous prime (13321331033299) and next prime (13321331033323).

It is not a de Polignac number, because 13321331033311 - 2⁵ = 13321331033279 is a prime.

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 13321331033311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321331133311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1604395 + ... + 5405251.

It is an arithmetic number, because the mean of its divisors is an integer number (1291371912364).

Almost surely, 2^{13321331033311} is an apocalyptic number.

13321331033311 is a deficient number, since it is larger than the sum of its proper divisors (2175131915057).

13321331033311 is an equidigital number, since it uses as much as digits as its factorization.

13321331033311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872398 (or 3872391 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 13321331033311 its reverse (11333013312331), we get a palindrome (24654344345642).

It can be divided in two parts, 1332133 and 1033311, that added together give a square (2365444 = 1538²).

The spelling of 13321331033311 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty-one million, thirty-three thousand, three hundred eleven".