3330013211000 has 256 divisors, whose sum is σ = 9197372620800. Its totient is φ = 1104325056000.

The previous prime is 3330013210987. The next prime is 3330013211023. The reversal of 3330013211000 is 1123100333.

It is a super-2 number, since 2×3330013211000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3330013211000.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 834797006 + ... + 834800994.

It is an arithmetic number, because the mean of its divisors is an integer number (35927236800).

Almost surely, 2^{3330013211000} 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 3330013211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598686310400).

3330013211000 is an abundant number, since it is smaller than the sum of its proper divisors (5867359409800).

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

3330013211000 is a wasteful number, since it uses less digits than its factorization.

3330013211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7895 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 3330013211000 its reverse (1123100333), we get a palindrome (3331136311333).

The spelling of 3330013211000 in words is "three trillion, three hundred thirty billion, thirteen million, two hundred eleven thousand".