321013002000204 has 120 divisors (see below), whose sum is σ = 868523154335760. Its totient is φ = 103267625521536.

The previous prime is 321013002000203. The next prime is 321013002000211. The reversal of 321013002000204 is 402000200310123.

321013002000204 is a `hidden beast` number, since 321 + 0 + 1 + 300 + 20 + 0 + 0 + 20 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (321013002000203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12945222 + ... + 28453554.

It is an arithmetic number, because the mean of its divisors is an integer number (7237692952798).

Almost surely, 2^{321013002000204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321013002000204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434261577167880).

321013002000204 is an abundant number, since it is smaller than the sum of its proper divisors (547510152335556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321013002000204 is a wasteful number, since it uses less digits than its factorization.

321013002000204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15510581 (or 15510570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 321013002000204 its reverse (402000200310123), we get a palindrome (723013202310327).

The spelling of 321013002000204 in words is "three hundred twenty-one trillion, thirteen billion, two million, two hundred four", and thus it is an aban number.