123300313225321 has 2 divisors, whose sum is σ = 123300313225322. Its totient is φ = 123300313225320.

The previous prime is 123300313225319. The next prime is 123300313225339. The reversal of 123300313225321 is 123522313003321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77573113153600 + 45727200071721 = 8807560^2 + 6762189^2 .

It is a cyclic number.

It is not a de Polignac number, because 123300313225321 - 2¹ = 123300313225319 is a prime.

Together with 123300313225319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (123300313228321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61650156612660 + 61650156612661.

It is an arithmetic number, because the mean of its divisors is an integer number (61650156612661).

Almost surely, 2^{123300313225321} is an apocalyptic number.

It is an amenable number.

123300313225321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123300313225321 is an equidigital number, since it uses as much as digits as its factorization.

123300313225321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 123300313225321 its reverse (123522313003321), we get a palindrome (246822626228642).

The spelling of 123300313225321 in words is "one hundred twenty-three trillion, three hundred billion, three hundred thirteen million, two hundred twenty-five thousand, three hundred twenty-one".