220013313 has 16 divisors (see below), whose sum is σ = 320248320. Its totient is φ = 133536384.

The previous prime is 220013273. The next prime is 220013317. The reversal of 220013313 is 313310022.

It is not a de Polignac number, because 220013313 - 2⁹ = 220012801 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220013292 and 220013301.

It is not an unprimeable number, because it can be changed into a prime (220013317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35793 + ... + 41486.

It is an arithmetic number, because the mean of its divisors is an integer number (20015520).

Almost surely, 2^220013313 is an apocalyptic number.

It is an amenable number.

220013313 is a deficient number, since it is larger than the sum of its proper divisors (100235007).

220013313 is a wasteful number, since it uses less digits than its factorization.

220013313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77368.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 220013313 is about 14832.8457485406. The cubic root of 220013313 is about 603.6932504131.

Adding to 220013313 its reverse (313310022), we get a palindrome (533323335).

The spelling of 220013313 in words is "two hundred twenty million, thirteen thousand, three hundred thirteen".