330120133020 has 36 divisors (see below), whose sum is σ = 1001364404040. Its totient is φ = 88032035424.

The previous prime is 330120132989. The next prime is 330120133037. The reversal of 330120133020 is 20331021033.

330120133020 is a `hidden beast` number, since 330 + 1 + 2 + 0 + 1 + 330 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330120132984 and 330120133002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 917000190 + ... + 917000549.

It is an arithmetic number, because the mean of its divisors is an integer number (27815677890).

Almost surely, 2^330120133020 is an apocalyptic number.

330120133020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330120133020 is an abundant number, since it is smaller than the sum of its proper divisors (671244271020).

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

330120133020 is a wasteful number, since it uses less digits than its factorization.

330120133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834000754 (or 1834000749 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 330120133020 its reverse (20331021033), we get a palindrome (350451154053).

The spelling of 330120133020 in words is "three hundred thirty billion, one hundred twenty million, one hundred thirty-three thousand, twenty".