223200210302213 has 2 divisors, whose sum is σ = 223200210302214. Its totient is φ = 223200210302212.

The previous prime is 223200210302197. The next prime is 223200210302221. The reversal of 223200210302213 is 312203012002322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 192551784947809 + 30648425354404 = 13876303^2 + 5536102^2 .

It is a cyclic number.

It is not a de Polignac number, because 223200210302213 - 2⁴ = 223200210302197 is a prime.

It is a super-3 number, since 3×223200210302213³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223200210802213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111600105151106 + 111600105151107.

It is an arithmetic number, because the mean of its divisors is an integer number (111600105151107).

Almost surely, 2^{223200210302213} is an apocalyptic number.

It is an amenable number.

223200210302213 is a deficient number, since it is larger than the sum of its proper divisors (1).

223200210302213 is an equidigital number, since it uses as much as digits as its factorization.

223200210302213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 223200210302213 its reverse (312203012002322), we get a palindrome (535403222304535).

The spelling of 223200210302213 in words is "two hundred twenty-three trillion, two hundred billion, two hundred ten million, three hundred two thousand, two hundred thirteen".