330313313220 has 192 divisors, whose sum is σ = 1022895820800. Its totient is φ = 78972042240.

The previous prime is 330313313207. The next prime is 330313313227. The reversal of 330313313220 is 22313313033.

It is not an unprimeable number, because it can be changed into a prime (330313313227) 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, 53127552 + ... + 53133768.

It is an arithmetic number, because the mean of its divisors is an integer number (5327582400).

Almost surely, 2^330313313220 is an apocalyptic number.

330313313220 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 330313313220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511447910400).

330313313220 is an abundant number, since it is smaller than the sum of its proper divisors (692582507580).

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

330313313220 is a wasteful number, since it uses less digits than its factorization.

330313313220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7338 (or 7336 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 330313313220 its reverse (22313313033), we get a palindrome (352626626253).

The spelling of 330313313220 in words is "three hundred thirty billion, three hundred thirteen million, three hundred thirteen thousand, two hundred twenty".