2011133200 has 30 divisors (see below), whose sum is σ = 4831748474. Its totient is φ = 804453120.

The previous prime is 2011133183. The next prime is 2011133221. The reversal of 2011133200 is 23311102.

It can be written as a sum of positive squares in 3 ways, for example, as 294191104 + 1716942096 = 17152^2 + 41436^2 .

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 5 ways as a sum of consecutive naturals, for example, 2513517 + ... + 2514316.

Almost surely, 2^2011133200 is an apocalyptic number.

2011133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011133200 is an abundant number, since it is smaller than the sum of its proper divisors (2820615274).

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

2011133200 is a wasteful number, since it uses less digits than its factorization.

2011133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027851 (or 5027840 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2011133200 is about 44845.6597676966. The cubic root of 2011133200 is about 1262.2545508528.

Adding to 2011133200 its reverse (23311102), we get a palindrome (2034444302).

The spelling of 2011133200 in words is "two billion, eleven million, one hundred thirty-three thousand, two hundred".