330300113020020 has 576 divisors, whose sum is σ = 1221923536404480. Its totient is φ = 73423786176000.

The previous prime is 330300113019983. The next prime is 330300113020037. The reversal of 330300113020020 is 20020311003033.

330300113020020 is a `hidden beast` number, since 3 + 30 + 300 + 1 + 130 + 200 + 2 + 0 = 666.

It is a super-2 number, since 2×330300113020020² (a number of 30 digits) contains 22 as substring.

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 = 330300113019975 and 330300113020002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150493357 + ... + 152672363.

It is an arithmetic number, because the mean of its divisors is an integer number (2121395028480).

Almost surely, 2^{330300113020020} is an apocalyptic number.

330300113020020 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 330300113020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610961768202240).

330300113020020 is an abundant number, since it is smaller than the sum of its proper divisors (891623423384460).

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

330300113020020 is a wasteful number, since it uses less digits than its factorization.

330300113020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179213 (or 2179192 counting only the distinct ones).

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

Adding to 330300113020020 its reverse (20020311003033), we get a palindrome (350320424023053).

The spelling of 330300113020020 in words is "three hundred thirty trillion, three hundred billion, one hundred thirteen million, twenty thousand, twenty".