33222223231313 has 8 divisors (see below), whose sum is σ = 34033926995880. Its totient is φ = 32410586401920.

The previous prime is 33222223231177. The next prime is 33222223231363. The reversal of 33222223231313 is 31313232222233.

It can be written as a sum of positive squares in 4 ways, for example, as 2798929 + 33222220432384 = 1673^2 + 5763872^2 .

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 33222223231313 - 2¹⁰ = 33222223230289 is a prime.

It is a super-2 number, since 2×33222223231313² (a number of 28 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 33222223231313.

It is not an unprimeable number, because it can be changed into a prime (33222223231363) 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, 15728270 + ... + 17715047.

It is an arithmetic number, because the mean of its divisors is an integer number (4254240874485).

Almost surely, 2^{33222223231313} is an apocalyptic number.

It is an amenable number.

33222223231313 is a deficient number, since it is larger than the sum of its proper divisors (811703764567).

33222223231313 is a wasteful number, since it uses less digits than its factorization.

33222223231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33467587.

The product of its digits is 46656, while the sum is 32.

Adding to 33222223231313 its reverse (31313232222233), we get a palindrome (64535455453546).

The spelling of 33222223231313 in words is "thirty-three trillion, two hundred twenty-two billion, two hundred twenty-three million, two hundred thirty-one thousand, three hundred thirteen".