330033013230000 has 200 divisors, whose sum is σ = 1065423968633200. Its totient is φ = 88006044672000.

The previous prime is 330033013229989. The next prime is 330033013230073. The reversal of 330033013230000 is 32310330033.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1066915356 + ... + 1067224644.

It is an arithmetic number, because the mean of its divisors is an integer number (5327119843166).

Almost surely, 2^{330033013230000} is an apocalyptic number.

330033013230000 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 330033013230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532711984316600).

330033013230000 is an abundant number, since it is smaller than the sum of its proper divisors (735390955403200).

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

330033013230000 is a wasteful number, since it uses less digits than its factorization.

330033013230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344889 (or 344868 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

Adding to 330033013230000 its reverse (32310330033), we get a palindrome (330065323560033).

The spelling of 330033013230000 in words is "three hundred thirty trillion, thirty-three billion, thirteen million, two hundred thirty thousand".