330301312020 has 144 divisors (see below), whose sum is σ = 1065089450880. Its totient is φ = 82618272000.

The previous prime is 330301311979. The next prime is 330301312063. The reversal of 330301312020 is 20213103033.

330301312020 is a `hidden beast` number, since 3 + 30 + 301 + 312 + 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 = 330301311984 and 330301312002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132696 + ... + 823535.

It is an arithmetic number, because the mean of its divisors is an integer number (7396454520).

Almost surely, 2^330301312020 is an apocalyptic number.

330301312020 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 330301312020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532544725440).

330301312020 is an abundant number, since it is smaller than the sum of its proper divisors (734788138860).

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

330301312020 is a wasteful number, since it uses less digits than its factorization.

330301312020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956366 (or 956361 counting only the distinct ones).

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

Adding to 330301312020 its reverse (20213103033), we get a palindrome (350514415053).

The spelling of 330301312020 in words is "three hundred thirty billion, three hundred one million, three hundred twelve thousand, twenty".