3331311330000 has 200 divisors, whose sum is σ = 11386502252928. Its totient is φ = 836093696000.

The previous prime is 3331311329963. The next prime is 3331311330001. The reversal of 3331311330000 is 331131333.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×3331311330000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3331311330001) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2755992 + ... + 3775991.

Almost surely, 2^{3331311330000} is an apocalyptic number.

3331311330000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3331311330000 is an abundant number, since it is smaller than the sum of its proper divisors (8055190922928).

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

3331311330000 is a wasteful number, since it uses less digits than its factorization.

3331311330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6532031 (or 6532010 counting only the distinct ones).

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

Adding to 3331311330000 its reverse (331131333), we get a palindrome (3331642461333).

The spelling of 3331311330000 in words is "three trillion, three hundred thirty-one billion, three hundred eleven million, three hundred thirty thousand".