113232220101000 has 2304 divisors, whose sum is σ = 528189622571520. Its totient is φ = 21129569280000.

The previous prime is 113232220100953. The next prime is 113232220101059. The reversal of 113232220101000 is 101022232311.

113232220101000 is a `hidden beast` number, since 1 + 132 + 322 + 201 + 0 + 10 + 0 + 0 = 666.

113232220101000 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12333316410 + ... + 12333325590.

It is an arithmetic number, because the mean of its divisors is an integer number (229248968130).

Almost surely, 2^{113232220101000} is an apocalyptic number.

113232220101000 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 113232220101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264094811285760).

113232220101000 is an abundant number, since it is smaller than the sum of its proper divisors (414957402470520).

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

113232220101000 is a wasteful number, since it uses less digits than its factorization.

113232220101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9313 (or 9259 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113232220101000 its reverse (101022232311), we get a palindrome (113333242333311).

The spelling of 113232220101000 in words is "one hundred thirteen trillion, two hundred thirty-two billion, two hundred twenty million, one hundred one thousand".