3300133001000 has 256 divisors, whose sum is σ = 8579214109440. Its totient is φ = 1178064000000.

The previous prime is 3300133000951. The next prime is 3300133001023. The reversal of 3300133001000 is 1003310033.

It is a super-4 number, since 4×3300133001000⁴ (a number of 51 digits) contains 4444 as substring.

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, 363006455 + ... + 363015545.

It is an arithmetic number, because the mean of its divisors is an integer number (33512555115).

Almost surely, 2^{3300133001000} 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 3300133001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289607054720).

3300133001000 is an abundant number, since it is smaller than the sum of its proper divisors (5279081108440).

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

3300133001000 is a wasteful number, since it uses less digits than its factorization.

3300133001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9725 (or 9711 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 3300133001000 its reverse (1003310033), we get a palindrome (3301136311033).

The spelling of 3300133001000 in words is "three trillion, three hundred billion, one hundred thirty-three million, one thousand".