321233301201321 has 64 divisors (see below), whose sum is σ = 478724014848000. Its totient is φ = 212887299860928.

The previous prime is 321233301201229. The next prime is 321233301201361. The reversal of 321233301201321 is 123102103332123.

321233301201321 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 3 + 330 + 1 + 2 + 0 + 1 + 321 = 666.

It is not a de Polignac number, because 321233301201321 - 2⁷ = 321233301201193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (321233301201361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42791164650 + ... + 42791172156.

It is an arithmetic number, because the mean of its divisors is an integer number (7480062732000).

Almost surely, 2^{321233301201321} is an apocalyptic number.

It is an amenable number.

321233301201321 is a deficient number, since it is larger than the sum of its proper divisors (157490713646679).

321233301201321 is a wasteful number, since it uses less digits than its factorization.

321233301201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13835 (or 13829 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 321233301201321 its reverse (123102103332123), we get a palindrome (444335404533444).

The spelling of 321233301201321 in words is "three hundred twenty-one trillion, two hundred thirty-three billion, three hundred one million, two hundred one thousand, three hundred twenty-one".