2000133300 has 288 divisors, whose sum is σ = 6769816704. Its totient is φ = 450560000.

The previous prime is 2000133259. The next prime is 2000133319. The reversal of 2000133300 is 33310002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5665924 + ... + 5666276.

It is an arithmetic number, because the mean of its divisors is an integer number (23506308).

Almost surely, 2^2000133300 is an apocalyptic number.

2000133300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384908352).

2000133300 is an abundant number, since it is smaller than the sum of its proper divisors (4769683404).

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

2000133300 is a wasteful number, since it uses less digits than its factorization.

2000133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 2000133300 is about 44722.8498644708. The cubic root of 2000133300 is about 1259.9490405190.

Adding to 2000133300 its reverse (33310002), we get a palindrome (2033443302).

It can be divided in two parts, 20001 and 33300, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 2000133300 in words is "two billion, one hundred thirty-three thousand, three hundred".