321331101133123 has 64 divisors (see below), whose sum is σ = 348904908269568. Its totient is φ = 294848494387200.

The previous prime is 321331101133117. The next prime is 321331101133129.

It is a happy number.

321331101133123 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (321331101133117) and next prime (321331101133129).

It is not a de Polignac number, because 321331101133123 - 2²⁵ = 321331067578691 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 321331101133091 and 321331101133100.

It is not an unprimeable number, because it can be changed into a prime (321331101133129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27077697036 + ... + 27077708902.

It is an arithmetic number, because the mean of its divisors is an integer number (5451639191712).

Almost surely, 2^{321331101133123} is an apocalyptic number.

321331101133123 is a deficient number, since it is larger than the sum of its proper divisors (27573807136445).

321331101133123 is a wasteful number, since it uses less digits than its factorization.

321331101133123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12892.

The product of its (nonzero) digits is 2916, while the sum is 28.

It can be divided in two parts, 32133110 and 1133123, that added together give a palindrome (33266233).

The spelling of 321331101133123 in words is "three hundred twenty-one trillion, three hundred thirty-one billion, one hundred one million, one hundred thirty-three thousand, one hundred twenty-three".