224414314221313 has 2 divisors, whose sum is σ = 224414314221314. Its totient is φ = 224414314221312.

The previous prime is 224414314221203. The next prime is 224414314221353. The reversal of 224414314221313 is 313122413414422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170288615083024 + 54125699138289 = 13049468^2 + 7357017^2 .

It is a cyclic number.

It is not a de Polignac number, because 224414314221313 - 2⁹ = 224414314220801 is a prime.

It is a super-3 number, since 3×224414314221313³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (224414314221353) 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, 112207157110656 + 112207157110657.

It is an arithmetic number, because the mean of its divisors is an integer number (112207157110657).

Almost surely, 2^{224414314221313} is an apocalyptic number.

It is an amenable number.

224414314221313 is a deficient number, since it is larger than the sum of its proper divisors (1).

224414314221313 is an equidigital number, since it uses as much as digits as its factorization.

224414314221313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110592, while the sum is 37.

Adding to 224414314221313 its reverse (313122413414422), we get a palindrome (537536727635735).

The spelling of 224414314221313 in words is "two hundred twenty-four trillion, four hundred fourteen billion, three hundred fourteen million, two hundred twenty-one thousand, three hundred thirteen".