330313102020 has 144 divisors (see below), whose sum is σ = 1094640910272. Its totient is φ = 79958334720.

The previous prime is 330313101977. The next prime is 330313102039. The reversal of 330313102020 is 20201313033.

330313102020 is a `hidden beast` number, since 330 + 3 + 1 + 310 + 2 + 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 = 330313101984 and 330313102002.

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, 1230214 + ... + 1474466.

It is an arithmetic number, because the mean of its divisors is an integer number (7601672988).

Almost surely, 2^330313102020 is an apocalyptic number.

330313102020 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 330313102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547320455136).

330313102020 is an abundant number, since it is smaller than the sum of its proper divisors (764327808252).

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

330313102020 is a wasteful number, since it uses less digits than its factorization.

330313102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244962 (or 244957 counting only the distinct ones).

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

Adding to 330313102020 its reverse (20201313033), we get a palindrome (350514415053).

The spelling of 330313102020 in words is "three hundred thirty billion, three hundred thirteen million, one hundred two thousand, twenty".