113031223333200 has 360 divisors, whose sum is σ = 405819331837920. Its totient is φ = 29099155276800.

The previous prime is 113031223333183. The next prime is 113031223333219. The reversal of 113031223333200 is 2333322130311.

113031223333200 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 1 + 2 + 2 + 333 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×113031223333200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1060963935 + ... + 1061070465.

It is an arithmetic number, because the mean of its divisors is an integer number (1127275921772).

Almost surely, 2^{113031223333200} is an apocalyptic number.

113031223333200 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 113031223333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202909665918960).

113031223333200 is an abundant number, since it is smaller than the sum of its proper divisors (292788108504720).

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

113031223333200 is a wasteful number, since it uses less digits than its factorization.

113031223333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116747 (or 116733 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 113031223333200 its reverse (2333322130311), we get a palindrome (115364545463511).

The spelling of 113031223333200 in words is "one hundred thirteen trillion, thirty-one billion, two hundred twenty-three million, three hundred thirty-three thousand, two hundred".