2001133100 has 54 divisors (see below), whose sum is σ = 4437307140. Its totient is φ = 783335840.

The previous prime is 2001133051. The next prime is 2001133103. The reversal of 2001133100 is 13311002.

It is a super-3 number, since 3×2001133100³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2001133103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 216371 + ... + 225429.

Almost surely, 2^2001133100 is an apocalyptic number.

2001133100 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 2001133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218653570).

2001133100 is an abundant number, since it is smaller than the sum of its proper divisors (2436174040).

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

2001133100 is a wasteful number, since it uses less digits than its factorization.

2001133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 2001133100 is about 44734.0261993038. The cubic root of 2001133100 is about 1260.1589410651.

Adding to 2001133100 its reverse (13311002), we get a palindrome (2014444102).

The spelling of 2001133100 in words is "two billion, one million, one hundred thirty-three thousand, one hundred".