330320120100330 has 128 divisors (see below), whose sum is σ = 820953008822016. Its totient is φ = 85001578905600.

The previous prime is 330320120100329. The next prime is 330320120100337. The reversal of 330320120100330 is 33001021023033.

It is a super-2 number, since 2×330320120100330² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330320120100297 and 330320120100306.

It is not an unprimeable number, because it can be changed into a prime (330320120100337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204767710 + ... + 206374550.

It is an arithmetic number, because the mean of its divisors is an integer number (6413695381422).

Almost surely, 2^{330320120100330} is an apocalyptic number.

330320120100330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330320120100330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410476504411008).

330320120100330 is an abundant number, since it is smaller than the sum of its proper divisors (490632888721686).

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

330320120100330 is a wasteful number, since it uses less digits than its factorization.

330320120100330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608712.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 330320120100330 its reverse (33001021023033), we get a palindrome (363321141123363).

The spelling of 330320120100330 in words is "three hundred thirty trillion, three hundred twenty billion, one hundred twenty million, one hundred thousand, three hundred thirty".