330120231321330 has 384 divisors, whose sum is σ = 928042814619648. Its totient is φ = 81201132688896.

The previous prime is 330120231321269. The next prime is 330120231321343. The reversal of 330120231321330 is 33123132021033.

330120231321330 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 2 + 0 + 2 + 3 + 1 + 321 + 330 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330120231321294 and 330120231321303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3877019817 + ... + 3877104963.

It is an arithmetic number, because the mean of its divisors is an integer number (2416778163072).

Almost surely, 2^{330120231321330} is an apocalyptic number.

330120231321330 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 330120231321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464021407309824).

330120231321330 is an abundant number, since it is smaller than the sum of its proper divisors (597922583298318).

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

330120231321330 is a wasteful number, since it uses less digits than its factorization.

330120231321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85670 (or 85667 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 330120231321330 its reverse (33123132021033), we get a palindrome (363243363342363).

The spelling of 330120231321330 in words is "three hundred thirty trillion, one hundred twenty billion, two hundred thirty-one million, three hundred twenty-one thousand, three hundred thirty".