123301323103321 has 24 divisors (see below), whose sum is σ = 139913891339264. Its totient is φ = 108466609680000.

The previous prime is 123301323103319. The next prime is 123301323103337.

It is a happy number.

123301323103321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 123301323103321 - 2¹ = 123301323103319 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123301323103321.

It is not an unprimeable number, because it can be changed into a prime (123301323103391) 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 in 23 ways as a sum of consecutive naturals, for example, 40974481 + ... + 43880641.

Almost surely, 2^{123301323103321} is an apocalyptic number.

123301323103321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123301323103321 is a deficient number, since it is larger than the sum of its proper divisors (16612568235943).

123301323103321 is a wasteful number, since it uses less digits than its factorization.

123301323103321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917525 (or 2917514 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 123301323103321 in words is "one hundred twenty-three trillion, three hundred one billion, three hundred twenty-three million, one hundred three thousand, three hundred twenty-one".