321313312331123 has 16 divisors (see below), whose sum is σ = 377186351942400. Its totient is φ = 268032108221856.

The previous prime is 321313312331119. The next prime is 321313312331147. The reversal of 321313312331123 is 321133213313123.

It is a cyclic number.

It is not a de Polignac number, because 321313312331123 - 2² = 321313312331119 is a prime.

It is a super-3 number, since 3×321313312331123³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 321313312331123.

It is not an unprimeable number, because it can be changed into a prime (321313312331113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4127087648 + ... + 4127165501.

It is an arithmetic number, because the mean of its divisors is an integer number (23574146996400).

Almost surely, 2^{321313312331123} is an apocalyptic number.

321313312331123 is a deficient number, since it is larger than the sum of its proper divisors (55873039611277).

321313312331123 is an equidigital number, since it uses as much as digits as its factorization.

321313312331123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254253306.

The product of its digits is 17496, while the sum is 32.

Adding to 321313312331123 its reverse (321133213313123), we get a palindrome (642446525644246).

The spelling of 321313312331123 in words is "three hundred twenty-one trillion, three hundred thirteen billion, three hundred twelve million, three hundred thirty-one thousand, one hundred twenty-three".