321144303441123 has 12 divisors (see below), whose sum is σ = 476412269970208. Its totient is φ = 208309818448080.

The previous prime is 321144303441067. The next prime is 321144303441133.

321144303441123 is a `hidden beast` number, since 3 + 21 + 1 + 44 + 30 + 3 + 441 + 123 = 666.

321144303441123 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 321144303441123 - 2²² = 321144299246819 is a prime.

It is a super-2 number, since 2×321144303441123² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (321144303441133) 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 11 ways as a sum of consecutive naturals, for example, 482198653483 + ... + 482198654148.

Almost surely, 2^{321144303441123} is an apocalyptic number.

321144303441123 is a deficient number, since it is larger than the sum of its proper divisors (155267966529085).

321144303441123 is a wasteful number, since it uses less digits than its factorization.

321144303441123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964397307674 (or 964397307671 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 32114430 and 3441123, that added together give a palindrome (35555553).

The spelling of 321144303441123 in words is "three hundred twenty-one trillion, one hundred forty-four billion, three hundred three million, four hundred forty-one thousand, one hundred twenty-three".