330121313003000 has 128 divisors (see below), whose sum is σ = 799026781962240. Its totient is φ = 127528626960000.

The previous prime is 330121313002991. The next prime is 330121313003159. The reversal of 330121313003000 is 300313121033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4376729 + ... + 26065271.

It is an arithmetic number, because the mean of its divisors is an integer number (6242396734080).

Almost surely, 2^{330121313003000} 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 330121313003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399513390981120).

330121313003000 is an abundant number, since it is smaller than the sum of its proper divisors (468905468959240).

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

330121313003000 is a wasteful number, since it uses less digits than its factorization.

330121313003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21689086 (or 21689072 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 330121313003000 its reverse (300313121033), we get a palindrome (330421626124033).

The spelling of 330121313003000 in words is "three hundred thirty trillion, one hundred twenty-one billion, three hundred thirteen million, three thousand".