2113300800 has 672 divisors, whose sum is σ = 8571951360. Its totient is φ = 503193600.

The previous prime is 2113300799. The next prime is 2113300807. The reversal of 2113300800 is 80033112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113300807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29764765 + ... + 29764835.

It is an arithmetic number, because the mean of its divisors is an integer number (12755880).

Almost surely, 2^2113300800 is an apocalyptic number.

2113300800 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 2113300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285975680).

2113300800 is an abundant number, since it is smaller than the sum of its proper divisors (6458650560).

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

2113300800 is a wasteful number, since it uses less digits than its factorization.

2113300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2113300800 is about 45970.6515072388. The cubic root of 2113300800 is about 1283.2770845458.

Adding to 2113300800 its reverse (80033112), we get a palindrome (2193333912).

The spelling of 2113300800 in words is "two billion, one hundred thirteen million, three hundred thousand, eight hundred".