330131001200220 has 216 divisors, whose sum is σ = 1101483122970048. Its totient is φ = 79975508785920.

The previous prime is 330131001200219. The next prime is 330131001200251. The reversal of 330131001200220 is 22002100131033.

330131001200220 is a `hidden beast` number, since 330 + 1 + 3 + 100 + 12 + 0 + 0 + 220 = 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 = 330131001200193 and 330131001200202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25667034 + ... + 36318846.

Almost surely, 2^{330131001200220} is an apocalyptic number.

330131001200220 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 330131001200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550741561485024).

330131001200220 is an abundant number, since it is smaller than the sum of its proper divisors (771352121769828).

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

330131001200220 is a wasteful number, since it uses less digits than its factorization.

330131001200220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10653273 (or 10653257 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330131001200220 its reverse (22002100131033), we get a palindrome (352133101331253).

The spelling of 330131001200220 in words is "three hundred thirty trillion, one hundred thirty-one billion, one million, two hundred thousand, two hundred twenty".