123013210222321 has 2 divisors, whose sum is σ = 123013210222322. Its totient is φ = 123013210222320.

The previous prime is 123013210222313. The next prime is 123013210222339. The reversal of 123013210222321 is 123222012310321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115391938980096 + 7621271242225 = 10742064^2 + 2760665^2 .

It is a cyclic number.

It is not a de Polignac number, because 123013210222321 - 2³ = 123013210222313 is a prime.

It is not a weakly prime, because it can be changed into another prime (123013210222351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61506605111160 + 61506605111161.

It is an arithmetic number, because the mean of its divisors is an integer number (61506605111161).

Almost surely, 2^{123013210222321} is an apocalyptic number.

It is an amenable number.

123013210222321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123013210222321 is an equidigital number, since it uses as much as digits as its factorization.

123013210222321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 123013210222321 its reverse (123222012310321), we get a palindrome (246235222532642).

The spelling of 123013210222321 in words is "one hundred twenty-three trillion, thirteen billion, two hundred ten million, two hundred twenty-two thousand, three hundred twenty-one".