220123320113 has 8 divisors (see below), whose sum is σ = 222785024616. Its totient is φ = 217471072000.

The previous prime is 220123320107. The next prime is 220123320173. The reversal of 220123320113 is 311023321022.

220123320113 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 70986010624 + 149137309489 = 266432^2 + 386183^2 .

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 220123320113 - 2⁶ = 220123320049 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (220123320173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2317256 + ... + 2410377.

It is an arithmetic number, because the mean of its divisors is an integer number (27848128077).

Almost surely, 2^220123320113 is an apocalyptic number.

It is an amenable number.

220123320113 is a deficient number, since it is larger than the sum of its proper divisors (2661704503).

220123320113 is a wasteful number, since it uses less digits than its factorization.

220123320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728195.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 220123320113 its reverse (311023321022), we get a palindrome (531146641135).

Subtracting 220123320113 from its reverse (311023321022), we obtain a palindrome (90900000909).

The spelling of 220123320113 in words is "two hundred twenty billion, one hundred twenty-three million, three hundred twenty thousand, one hundred thirteen".