330013200103002 has 32 divisors (see below), whose sum is σ = 789775179735360. Its totient is φ = 101542523108400.

The previous prime is 330013200103001. The next prime is 330013200103009. The reversal of 330013200103002 is 200301002310033.

330013200103002 is a `hidden beast` number, since 3 + 30 + 0 + 1 + 320 + 0 + 10 + 300 + 2 = 666.

It is a super-4 number, since 4×330013200103002⁴ (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (330013200103001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235052136124 + ... + 235052137527.

It is an arithmetic number, because the mean of its divisors is an integer number (24680474366730).

Almost surely, 2^{330013200103002} is an apocalyptic number.

330013200103002 is an abundant number, since it is smaller than the sum of its proper divisors (459761979632358).

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

330013200103002 is a wasteful number, since it uses less digits than its factorization.

330013200103002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470104273675 (or 470104273669 counting only the distinct ones).

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

Adding to 330013200103002 its reverse (200301002310033), we get a palindrome (530314202413035).

The spelling of 330013200103002 in words is "three hundred thirty trillion, thirteen billion, two hundred million, one hundred three thousand, two".