33220113330313 has 24 divisors (see below), whose sum is σ = 42631440029640. Its totient is φ = 25642971406080.

The previous prime is 33220113330301. The next prime is 33220113330319. The reversal of 33220113330313 is 31303331102233.

It can be written as a sum of positive squares in 4 ways, for example, as 164018520064 + 33056094810249 = 404992^2 + 5749443^2 .

It is not a de Polignac number, because 33220113330313 - 2⁵ = 33220113330281 is a prime.

It is a super-2 number, since 2×33220113330313² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33220113330319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635960278 + ... + 636012511.

It is an arithmetic number, because the mean of its divisors is an integer number (1776310001235).

Almost surely, 2^{33220113330313} is an apocalyptic number.

It is an amenable number.

33220113330313 is a deficient number, since it is larger than the sum of its proper divisors (9411326699327).

33220113330313 is a wasteful number, since it uses less digits than its factorization.

33220113330313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271972857 (or 1271972850 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 33220113330313 its reverse (31303331102233), we get a palindrome (64523444432546).

The spelling of 33220113330313 in words is "thirty-three trillion, two hundred twenty billion, one hundred thirteen million, three hundred thirty thousand, three hundred thirteen".