2133311100 has 72 divisors (see below), whose sum is σ = 6190989168. Its totient is φ = 567168000.

The previous prime is 2133311099. The next prime is 2133311123. The reversal of 2133311100 is 11133312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2133311100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90550 + ... + 111650.

Almost surely, 2^2133311100 is an apocalyptic number.

2133311100 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 2133311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3095494584).

2133311100 is an abundant number, since it is smaller than the sum of its proper divisors (4057678068).

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

2133311100 is a wasteful number, since it uses less digits than its factorization.

2133311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21455 (or 21448 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 2133311100 is about 46187.7808516495. The cubic root of 2133311100 is about 1287.3147073654.

Adding to 2133311100 its reverse (11133312), we get a palindrome (2144444412).

The spelling of 2133311100 in words is "two billion, one hundred thirty-three million, three hundred eleven thousand, one hundred".