13311013222033 has 8 divisors (see below), whose sum is σ = 13670836779560. Its totient is φ = 12951193161600.

The previous prime is 13311013222027. The next prime is 13311013222069. The reversal of 13311013222033 is 33022231011331.

It can be written as a sum of positive squares in 4 ways, for example, as 120511733904 + 13190501488129 = 347148^2 + 3631873^2 .

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 13311013222033 - 2²⁹ = 13310476351121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13311013221989 and 13311013222007.

It is not an unprimeable number, because it can be changed into a prime (13311013222093) 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 7 ways as a sum of consecutive naturals, for example, 8058283 + ... + 9568591.

It is an arithmetic number, because the mean of its divisors is an integer number (1708854597445).

Almost surely, 2^{13311013222033} is an apocalyptic number.

It is an amenable number.

13311013222033 is a deficient number, since it is larger than the sum of its proper divisors (359823557527).

13311013222033 is a wasteful number, since it uses less digits than its factorization.

13311013222033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748547.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13311013222033 its reverse (33022231011331), we get a palindrome (46333244233364).

The spelling of 13311013222033 in words is "thirteen trillion, three hundred eleven billion, thirteen million, two hundred twenty-two thousand, thirty-three".