113023002300 has 576 divisors, whose sum is σ = 388839112704. Its totient is φ = 25082265600.

The previous prime is 113023002293. The next prime is 113023002329. The reversal of 113023002300 is 3200320311.

113023002300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 113023002300.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 261022884 + ... + 261023316.

It is an arithmetic number, because the mean of its divisors is an integer number (675067904).

Almost surely, 2^113023002300 is an apocalyptic number.

113023002300 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 113023002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194419556352).

113023002300 is an abundant number, since it is smaller than the sum of its proper divisors (275816110404).

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

113023002300 is a wasteful number, since it uses less digits than its factorization.

113023002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 113023002300 its reverse (3200320311), we get a palindrome (116223322611).

The spelling of 113023002300 in words is "one hundred thirteen billion, twenty-three million, two thousand, three hundred".