321314330000 has 200 divisors, whose sum is σ = 795778769280. Its totient is φ = 125611200000.

The previous prime is 321314329991. The next prime is 321314330021. The reversal of 321314330000 is 33413123.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79787987 + ... + 79792013.

Almost surely, 2^321314330000 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 321314330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397889384640).

321314330000 is an abundant number, since it is smaller than the sum of its proper divisors (474464439280).

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

321314330000 is a wasteful number, since it uses less digits than its factorization.

321314330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 321314330000 its reverse (33413123), we get a palindrome (321347743123).

The spelling of 321314330000 in words is "three hundred twenty-one billion, three hundred fourteen million, three hundred thirty thousand".