123301312104301 has 2 divisors, whose sum is σ = 123301312104302. Its totient is φ = 123301312104300.

The previous prime is 123301312104281. The next prime is 123301312104319. The reversal of 123301312104301 is 103401213103321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112566285795076 + 10735026309225 = 10609726^2 + 3276435^2 .

It is a cyclic number.

It is not a de Polignac number, because 123301312104301 - 2²⁷ = 123301177886573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123301312104331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61650656052150 + 61650656052151.

It is an arithmetic number, because the mean of its divisors is an integer number (61650656052151).

Almost surely, 2^{123301312104301} is an apocalyptic number.

It is an amenable number.

123301312104301 is a deficient number, since it is larger than the sum of its proper divisors (1).

123301312104301 is an equidigital number, since it uses as much as digits as its factorization.

123301312104301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 123301312104301 its reverse (103401213103321), we get a palindrome (226702525207622).

The spelling of 123301312104301 in words is "one hundred twenty-three trillion, three hundred one billion, three hundred twelve million, one hundred four thousand, three hundred one".