2000133000 has 192 divisors, whose sum is σ = 7011688320. Its totient is φ = 533304000.

The previous prime is 2000132951. The next prime is 2000133017. The reversal of 2000133000 is 3310002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238885 + ... + 247115.

It is an arithmetic number, because the mean of its divisors is an integer number (36519210).

Almost surely, 2^2000133000 is an apocalyptic number.

2000133000 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 2000133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505844160).

2000133000 is an abundant number, since it is smaller than the sum of its proper divisors (5011555320).

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

2000133000 is an equidigital number, since it uses as much as digits as its factorization.

2000133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8267 (or 8241 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 2000133000 is about 44722.8465104805. The cubic root of 2000133000 is about 1259.9489775258.

Adding to 2000133000 its reverse (3310002), we get a palindrome (2003443002).

The spelling of 2000133000 in words is "two billion, one hundred thirty-three thousand".