113033213313300 has 540 divisors, whose sum is σ = 430625183383164. Its totient is φ = 25569802137600.

The previous prime is 113033213313281. The next prime is 113033213313301. The reversal of 113033213313300 is 3313312330311.

113033213313300 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 3 + 21 + 331 + 3 + 300 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2926932445584 + 110106280867716 = 1710828^2 + 10493154^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113033213313301) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 37031310 + ... + 39967290.

Almost surely, 2^{113033213313300} is an apocalyptic number.

113033213313300 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 113033213313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215312591691582).

113033213313300 is an abundant number, since it is smaller than the sum of its proper divisors (317591970069864).

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

113033213313300 is a wasteful number, since it uses less digits than its factorization.

113033213313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936118 (or 2936095 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 113033213313300 its reverse (3313312330311), we get a palindrome (116346525643611).

The spelling of 113033213313300 in words is "one hundred thirteen trillion, thirty-three billion, two hundred thirteen million, three hundred thirteen thousand, three hundred".