113363136000 has 960 divisors, whose sum is σ = 438164812800. Its totient is φ = 28101427200.

The previous prime is 113363135981. The next prime is 113363136001. The reversal of 113363136000 is 631363311.

113363136000 is a `hidden beast` number, since 1 + 13 + 36 + 3 + 13 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113363136001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 569663901 + ... + 569664099.

It is an arithmetic number, because the mean of its divisors is an integer number (456421680).

Almost surely, 2^113363136000 is an apocalyptic number.

113363136000 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 113363136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219082406400).

113363136000 is an abundant number, since it is smaller than the sum of its proper divisors (324801676800).

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

113363136000 is a wasteful number, since it uses less digits than its factorization.

113363136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 113363136000 its reverse (631363311), we get a palindrome (113994499311).

The spelling of 113363136000 in words is "one hundred thirteen billion, three hundred sixty-three million, one hundred thirty-six thousand".