330100120033020 has 144 divisors (see below), whose sum is σ = 1001806892442720. Its totient is φ = 87982472083968.

The previous prime is 330100120032997. The next prime is 330100120033087. The reversal of 330100120033020 is 20330021001033.

330100120033020 is a `hidden beast` number, since 3 + 30 + 100 + 1 + 200 + 330 + 2 + 0 = 666.

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 = 330100120032984 and 330100120033002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3352616551 + ... + 3352715009.

It is an arithmetic number, because the mean of its divisors is an integer number (6956992308630).

Almost surely, 2^{330100120033020} is an apocalyptic number.

330100120033020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330100120033020 is an abundant number, since it is smaller than the sum of its proper divisors (671706772409700).

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

330100120033020 is a wasteful number, since it uses less digits than its factorization.

330100120033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107644 (or 107639 counting only the distinct ones).

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

Adding to 330100120033020 its reverse (20330021001033), we get a palindrome (350430141034053).

The spelling of 330100120033020 in words is "three hundred thirty trillion, one hundred billion, one hundred twenty million, thirty-three thousand, twenty".