330013120120 has 64 divisors (see below), whose sum is σ = 767859782400. Its totient is φ = 127517399040.

The previous prime is 330013120117. The next prime is 330013120133. The reversal of 330013120120 is 21021310033.

It is a junction number, because it is equal to n+sod(n) for n = 330013120094 and 330013120103.

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, 451776 + ... + 929584.

It is an arithmetic number, because the mean of its divisors is an integer number (11997809100).

Almost surely, 2^330013120120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330013120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383929891200).

330013120120 is an abundant number, since it is smaller than the sum of its proper divisors (437846662280).

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

330013120120 is a wasteful number, since it uses less digits than its factorization.

330013120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478408 (or 478404 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 330013120120 its reverse (21021310033), we get a palindrome (351034430153).

The spelling of 330013120120 in words is "three hundred thirty billion, thirteen million, one hundred twenty thousand, one hundred twenty".