10223320113 has 24 divisors (see below), whose sum is σ = 15373918248. Its totient is φ = 6540486912.

The previous prime is 10223320097. The next prime is 10223320147. The reversal of 10223320113 is 31102332201.

10223320113 is a `hidden beast` number, since 10 + 223 + 320 + 113 = 666.

10223320113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 769063824 + 9454256289 = 27732^2 + 97233^2 .

It is not a de Polignac number, because 10223320113 - 2⁴ = 10223320097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10223320183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185970 + ... + 234587.

It is an arithmetic number, because the mean of its divisors is an integer number (640579927).

Almost surely, 2^10223320113 is an apocalyptic number.

It is an amenable number.

10223320113 is a deficient number, since it is larger than the sum of its proper divisors (5150598135).

10223320113 is a wasteful number, since it uses less digits than its factorization.

10223320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420673 (or 420670 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10223320113 its reverse (31102332201), we get a palindrome (41325652314).

The spelling of 10223320113 in words is "ten billion, two hundred twenty-three million, three hundred twenty thousand, one hundred thirteen".