223312013 has 2 divisors, whose sum is σ = 223312014. Its totient is φ = 223312012.

The previous prime is 223312009. The next prime is 223312021. The reversal of 223312013 is 310213322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 204976489 + 18335524 = 14317^2 + 4282^2 .

It is a cyclic number.

It is not a de Polignac number, because 223312013 - 2² = 223312009 is a prime.

It is a super-2 number, since 2×223312013² = 99736510300224338, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223311982 and 223312000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223312513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111656006 + 111656007.

It is an arithmetic number, because the mean of its divisors is an integer number (111656007).

Almost surely, 2^223312013 is an apocalyptic number.

It is an amenable number.

223312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

223312013 is an equidigital number, since it uses as much as digits as its factorization.

223312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 223312013 is about 14943.6278393167. The cubic root of 223312013 is about 606.6953907357.

Adding to 223312013 its reverse (310213322), we get a palindrome (533525335).

The spelling of 223312013 in words is "two hundred twenty-three million, three hundred twelve thousand, thirteen".