123213323312321 has 6 divisors (see below), whose sum is σ = 135432826450866. Its totient is φ = 112012112102000.

The previous prime is 123213323312269. The next prime is 123213323312327.

123213323312321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 69664663199296 + 53548660113025 = 8346536^2 + 7317695^2 .

It is not a de Polignac number, because 123213323312321 - 2⁶ = 123213323312257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123213323312327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 509145963980 + ... + 509145964221.

It is an arithmetic number, because the mean of its divisors is an integer number (22572137741811).

Almost surely, 2^{123213323312321} is an apocalyptic number.

123213323312321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123213323312321 is a deficient number, since it is larger than the sum of its proper divisors (12219503138545).

123213323312321 is a wasteful number, since it uses less digits than its factorization.

123213323312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018291928223 (or 1018291928212 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 123213323312321 in words is "one hundred twenty-three trillion, two hundred thirteen billion, three hundred twenty-three million, three hundred twelve thousand, three hundred twenty-one".