123312404213321 has 2 divisors, whose sum is σ = 123312404213322. Its totient is φ = 123312404213320.

The previous prime is 123312404213303. The next prime is 123312404213329.

123312404213321 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68920879459600 + 54391524753721 = 8301860^2 + 7375061^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 123312404213321 - 2⁴⁶ = 52943660035657 is a prime.

It is not a weakly prime, because it can be changed into another prime (123312404213329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656202106660 + 61656202106661.

It is an arithmetic number, because the mean of its divisors is an integer number (61656202106661).

Almost surely, 2^{123312404213321} is an apocalyptic number.

It is an amenable number.

123312404213321 is a deficient number, since it is larger than the sum of its proper divisors (1).

123312404213321 is an equidigital number, since it uses as much as digits as its factorization.

123312404213321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 32.

It can be divided in two parts, 12331240 and 4213321, that added together give a palindrome (16544561).

The spelling of 123312404213321 in words is "one hundred twenty-three trillion, three hundred twelve billion, four hundred four million, two hundred thirteen thousand, three hundred twenty-one".