23222303302313 has 2 divisors, whose sum is σ = 23222303302314. Its totient is φ = 23222303302312.

The previous prime is 23222303302249. The next prime is 23222303302327. The reversal of 23222303302313 is 31320330322232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23219792590864 + 2510711449 = 4818692^2 + 50107^2 .

It is a cyclic number.

It is not a de Polignac number, because 23222303302313 - 2⁶ = 23222303302249 is a prime.

It is a super-2 number, since 2×23222303302313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23222303302813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11611151651156 + 11611151651157.

It is an arithmetic number, because the mean of its divisors is an integer number (11611151651157).

Almost surely, 2^{23222303302313} is an apocalyptic number.

It is an amenable number.

23222303302313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23222303302313 is an equidigital number, since it uses as much as digits as its factorization.

23222303302313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 23222303302313 its reverse (31320330322232), we get a palindrome (54542633624545).

The spelling of 23222303302313 in words is "twenty-three trillion, two hundred twenty-two billion, three hundred three million, three hundred two thousand, three hundred thirteen".