321322343223123 has 144 divisors (see below), whose sum is σ = 535449906377568. Its totient is φ = 185340454041600.

The previous prime is 321322343223107. The next prime is 321322343223181.

321322343223123 is a `hidden beast` number, since 3 + 2 + 1 + 322 + 3 + 4 + 322 + 3 + 1 + 2 + 3 = 666.

321322343223123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321322343223123 - 2⁴ = 321322343223107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321322343223023) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 706632811 + ... + 707087387.

It is an arithmetic number, because the mean of its divisors is an integer number (3718402127622).

Almost surely, 2^{321322343223123} is an apocalyptic number.

321322343223123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

321322343223123 is a deficient number, since it is larger than the sum of its proper divisors (214127563154445).

321322343223123 is a wasteful number, since it uses less digits than its factorization.

321322343223123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455026 (or 455012 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 321322343223123 in words is "three hundred twenty-one trillion, three hundred twenty-two billion, three hundred forty-three million, two hundred twenty-three thousand, one hundred twenty-three".