330313000120020 has 48 divisors (see below), whose sum is σ = 1027640444819520. Its totient is φ = 88083466698528.

The previous prime is 330313000120001. The next prime is 330313000120127. The reversal of 330313000120020 is 20021000313033.

330313000120020 is a `hidden beast` number, since 330 + 3 + 1 + 300 + 0 + 12 + 0 + 0 + 20 = 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 = 330313000119975 and 330313000120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305845369942 + ... + 305845371021.

It is an arithmetic number, because the mean of its divisors is an integer number (21409175933740).

Almost surely, 2^{330313000120020} is an apocalyptic number.

330313000120020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330313000120020 is an abundant number, since it is smaller than the sum of its proper divisors (697327444699500).

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

330313000120020 is a wasteful number, since it uses less digits than its factorization.

330313000120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611690740981 (or 611690740973 counting only the distinct ones).

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

Adding to 330313000120020 its reverse (20021000313033), we get a palindrome (350334000433053).

The spelling of 330313000120020 in words is "three hundred thirty trillion, three hundred thirteen billion, one hundred twenty thousand, twenty".