223333123012313 has 2 divisors, whose sum is σ = 223333123012314. Its totient is φ = 223333123012312.

The previous prime is 223333123012303. The next prime is 223333123012319. The reversal of 223333123012313 is 313210321333322.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154896020992729 + 68437102019584 = 12445723^2 + 8272672^2 .

It is a cyclic number.

It is not a de Polignac number, because 223333123012313 - 2⁶ = 223333123012249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 223333123012313.

It is not a weakly prime, because it can be changed into another prime (223333123012319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111666561506156 + 111666561506157.

It is an arithmetic number, because the mean of its divisors is an integer number (111666561506157).

Almost surely, 2^{223333123012313} is an apocalyptic number.

It is an amenable number.

223333123012313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223333123012313 is an equidigital number, since it uses as much as digits as its factorization.

223333123012313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 223333123012313 its reverse (313210321333322), we get a palindrome (536543444345635).

The spelling of 223333123012313 in words is "two hundred twenty-three trillion, three hundred thirty-three billion, one hundred twenty-three million, twelve thousand, three hundred thirteen".