123321013113029 has 2 divisors, whose sum is σ = 123321013113030. Its totient is φ = 123321013113028.

The previous prime is 123321013112989. The next prime is 123321013113037. The reversal of 123321013113029 is 920311310123321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93437549016100 + 29883464096929 = 9666310^2 + 5466577^2 .

It is a cyclic number.

It is not a de Polignac number, because 123321013113029 - 2¹⁶ = 123321013047493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123321013112986 and 123321013113004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123321013113829) 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, 61660506556514 + 61660506556515.

It is an arithmetic number, because the mean of its divisors is an integer number (61660506556515).

Almost surely, 2^{123321013113029} is an apocalyptic number.

It is an amenable number.

123321013113029 is a deficient number, since it is larger than the sum of its proper divisors (1).

123321013113029 is an equidigital number, since it uses as much as digits as its factorization.

123321013113029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 123321013113029 in words is "one hundred twenty-three trillion, three hundred twenty-one billion, thirteen million, one hundred thirteen thousand, twenty-nine".