330013311330 has 32 divisors (see below), whose sum is σ = 792234949824. Its totient is φ = 87980993856.

The previous prime is 330013311323. The next prime is 330013311347. The reversal of 330013311330 is 33113310033.

It is a super-4 number, since 4×330013311330⁴ (a number of 47 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330013311297 and 330013311306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290577 + ... + 1524996.

It is an arithmetic number, because the mean of its divisors is an integer number (24757342182).

Almost surely, 2^330013311330 is an apocalyptic number.

330013311330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

330013311330 is an abundant number, since it is smaller than the sum of its proper divisors (462221638494).

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

330013311330 is a wasteful number, since it uses less digits than its factorization.

330013311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819490.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 330013311330 its reverse (33113310033), we get a palindrome (363126621363).

The spelling of 330013311330 in words is "three hundred thirty billion, thirteen million, three hundred eleven thousand, three hundred thirty".