223313101313322 has 128 divisors (see below), whose sum is σ = 474150411141120. Its totient is φ = 70001039808000.

The previous prime is 223313101313321. The next prime is 223313101313377.

223313101313322 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×223313101313322² (a number of 29 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 223313101313322.

It is not an unprimeable number, because it can be changed into a prime (223313101313321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8851432204 + ... + 8851457432.

It is an arithmetic number, because the mean of its divisors is an integer number (3704300087040).

Almost surely, 2^{223313101313322} is an apocalyptic number.

223313101313322 is an abundant number, since it is smaller than the sum of its proper divisors (250837309827798).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223313101313322 is a wasteful number, since it uses less digits than its factorization.

223313101313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29860.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 22331310 and 1313322, that added together give a palindrome (23644632).

The spelling of 223313101313322 in words is "two hundred twenty-three trillion, three hundred thirteen billion, one hundred one million, three hundred thirteen thousand, three hundred twenty-two".