223240023313 has 2 divisors, whose sum is σ = 223240023314. Its totient is φ = 223240023312.

The previous prime is 223240023239. The next prime is 223240023337. The reversal of 223240023313 is 313320042322.

223240023313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117633222529 + 105606800784 = 342977^2 + 324972^2 .

It is a cyclic number.

It is not a de Polignac number, because 223240023313 - 2²⁹ = 222703152401 is a prime.

It is a super-3 number, since 3×223240023313³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223240023113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111620011656 + 111620011657.

It is an arithmetic number, because the mean of its divisors is an integer number (111620011657).

Almost surely, 2^223240023313 is an apocalyptic number.

It is an amenable number.

223240023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

223240023313 is an equidigital number, since it uses as much as digits as its factorization.

223240023313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 223240023313 its reverse (313320042322), we get a palindrome (536560065635).

The spelling of 223240023313 in words is "two hundred twenty-three billion, two hundred forty million, twenty-three thousand, three hundred thirteen".