220023223022313 has 24 divisors (see below), whose sum is σ = 323221606336200. Its totient is φ = 144188076015360.

The previous prime is 220023223022249. The next prime is 220023223022353. The reversal of 220023223022313 is 313220322320022.

220023223022313 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 2 + 322 + 3 + 0 + 22 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5024111551209 + 214999111471104 = 2241453^2 + 14662848^2 .

It is not a de Polignac number, because 220023223022313 - 2⁶ = 220023223022249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220023223022353) 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, 123345988 + ... + 125117061.

It is an arithmetic number, because the mean of its divisors is an integer number (13467566930675).

Almost surely, 2^{220023223022313} is an apocalyptic number.

It is an amenable number.

220023223022313 is a deficient number, since it is larger than the sum of its proper divisors (103198383313887).

220023223022313 is a wasteful number, since it uses less digits than its factorization.

220023223022313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248464729 (or 248464726 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 220023223022313 its reverse (313220322320022), we get a palindrome (533243545342335).

The spelling of 220023223022313 in words is "two hundred twenty trillion, twenty-three billion, two hundred twenty-three million, twenty-two thousand, three hundred thirteen".