1333330000002 has 384 divisors, whose sum is σ = 4193313546240. Its totient is φ = 294666232320.

The previous prime is 1333330000001. The next prime is 1333330000027. The reversal of 1333330000002 is 2000000333331.

1333330000002 is a `hidden beast` number, since 1 + 333 + 330 + 0 + 0 + 0 + 0 + 0 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1333330000002.

It is not an unprimeable number, because it can be changed into a prime (1333330000001) 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 191 ways as a sum of consecutive naturals, for example, 12614023 + ... + 12719285.

It is an arithmetic number, because the mean of its divisors is an integer number (10920087360).

Almost surely, 2^{1333330000002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333330000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096656773120).

1333330000002 is an abundant number, since it is smaller than the sum of its proper divisors (2859983546238).

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

1333330000002 is a wasteful number, since it uses less digits than its factorization.

1333330000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105358 (or 105355 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 1333330000002 its reverse (2000000333331), we get a palindrome (3333330333333).

The spelling of 1333330000002 in words is "one trillion, three hundred thirty-three billion, three hundred thirty million, two", and thus it is an aban number.