321303311032320 has 672 divisors, whose sum is σ = 1119532939349760. Its totient is φ = 85239571415040.

The previous prime is 321303311032309. The next prime is 321303311032321. The reversal of 321303311032320 is 23230113303123.

321303311032320 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 0 + 3 + 311 + 0 + 323 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (321303311032321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82618488936 + ... + 82618492824.

Almost surely, 2^{321303311032320} is an apocalyptic number.

321303311032320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321303311032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559766469674880).

321303311032320 is an abundant number, since it is smaller than the sum of its proper divisors (798229628317440).

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

321303311032320 is a wasteful number, since it uses less digits than its factorization.

321303311032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 4997 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 321303311032320 its reverse (23230113303123), we get a palindrome (344533424335443).

The spelling of 321303311032320 in words is "three hundred twenty-one trillion, three hundred three billion, three hundred eleven million, thirty-two thousand, three hundred twenty".