113003300 has 36 divisors (see below), whose sum is σ = 247991940. Its totient is φ = 44689920.

The previous prime is 113003299. The next prime is 113003311. The reversal of 113003300 is 3300311.

It can be written as a sum of positive squares in 6 ways, for example, as 22829284 + 90174016 = 4778^2 + 9496^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2552 + ... + 15248.

It is an arithmetic number, because the mean of its divisors is an integer number (6888665).

Almost surely, 2^113003300 is an apocalyptic number.

113003300 is a gapful number since it is divisible by the number (10) 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 113003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123995970).

113003300 is an abundant number, since it is smaller than the sum of its proper divisors (134988640).

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

113003300 is a wasteful number, since it uses less digits than its factorization.

113003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12800 (or 12793 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 113003300 is about 10630.3010305447. The cubic root of 113003300 is about 483.4635189016.

Adding to 113003300 its reverse (3300311), we get a palindrome (116303611).

The spelling of 113003300 in words is "one hundred thirteen million, three thousand, three hundred".