223000013 has 2 divisors, whose sum is σ = 223000014. Its totient is φ = 223000012.

The previous prime is 222999989. The next prime is 223000031. The reversal of 223000013 is 310000322.

Together with next prime (223000031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151462249 + 71537764 = 12307^2 + 8458^2 .

It is a cyclic number.

It is not a de Polignac number, because 223000013 - 2⁸ = 222999757 is a prime.

It is a super-3 number, since 3×223000013³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222999958 and 223000003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223000213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111500006 + 111500007.

It is an arithmetic number, because the mean of its divisors is an integer number (111500007).

Almost surely, 2^223000013 is an apocalyptic number.

It is an amenable number.

223000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

223000013 is an equidigital number, since it uses as much as digits as its factorization.

223000013 is an evil number, because the sum of its binary digits is even.

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

The square root of 223000013 is about 14933.1849583403. The cubic root of 223000013 is about 606.4127112345.

Adding to 223000013 its reverse (310000322), we get a palindrome (533000335).

The spelling of 223000013 in words is "two hundred twenty-three million, thirteen", and thus it is an aban number.