220000313 has 12 divisors (see below), whose sum is σ = 248587200. Its totient is φ = 194244336.

The previous prime is 220000307. The next prime is 220000331. The reversal of 220000313 is 313000022.

220000313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220000313 - 2¹⁰ = 219999289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220000294 and 220000303.

It is not an unprimeable number, because it can be changed into a prime (220000303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24413 + ... + 32186.

It is an arithmetic number, because the mean of its divisors is an integer number (20715600).

Almost surely, 2^220000313 is an apocalyptic number.

220000313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

220000313 is a deficient number, since it is larger than the sum of its proper divisors (28586887).

220000313 is a wasteful number, since it uses less digits than its factorization.

220000313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56648 (or 56635 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 220000313 is about 14832.4075254154. The cubic root of 220000313 is about 603.6813599708.

Adding to 220000313 its reverse (313000022), we get a palindrome (533000335).

The spelling of 220000313 in words is "two hundred twenty million, three hundred thirteen", and thus it is an aban number.