330303120133020 has 96 divisors (see below), whose sum is σ = 931203043848000. Its totient is φ = 87475846907904.

The previous prime is 330303120132991. The next prime is 330303120133037. The reversal of 330303120133020 is 20331021303033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53662422 + ... + 59500098.

It is an arithmetic number, because the mean of its divisors is an integer number (9700031706750).

Almost surely, 2^{330303120133020} is an apocalyptic number.

330303120133020 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 330303120133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465601521924000).

330303120133020 is an abundant number, since it is smaller than the sum of its proper divisors (600899923714980).

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

330303120133020 is a wasteful number, since it uses less digits than its factorization.

330303120133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5844167 (or 5844165 counting only the distinct ones).

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

Adding to 330303120133020 its reverse (20331021303033), we get a palindrome (350634141436053).

The spelling of 330303120133020 in words is "three hundred thirty trillion, three hundred three billion, one hundred twenty million, one hundred thirty-three thousand, twenty".