320331133100 has 144 divisors (see below), whose sum is σ = 770220202752. Its totient is φ = 114660000000.

The previous prime is 320331133069. The next prime is 320331133121. The reversal of 320331133100 is 1331133023.

It is a super-2 number, since 2×320331133100² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54745175 + ... + 54751025.

It is an arithmetic number, because the mean of its divisors is an integer number (5348751408).

Almost surely, 2^320331133100 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 320331133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385110101376).

320331133100 is an abundant number, since it is smaller than the sum of its proper divisors (449889069652).

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

320331133100 is a wasteful number, since it uses less digits than its factorization.

320331133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 6641 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 320331133100 its reverse (1331133023), we get a palindrome (321662266123).

The spelling of 320331133100 in words is "three hundred twenty billion, three hundred thirty-one million, one hundred thirty-three thousand, one hundred".