113232021300000 has 432 divisors, whose sum is σ = 413356614436584. Its totient is φ = 29379110400000.

The previous prime is 113232021299977. The next prime is 113232021300001. The reversal of 113232021300000 is 3120232311.

113232021300000 is a `hidden beast` number, since 1 + 1 + 323 + 20 + 21 + 300 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1900063751184 + 111331957548816 = 1378428^2 + 10551396^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113232021300001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31599820 + ... + 35000180.

Almost surely, 2^{113232021300000} is an apocalyptic number.

113232021300000 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 113232021300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206678307218292).

113232021300000 is an abundant number, since it is smaller than the sum of its proper divisors (300124593136584).

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

113232021300000 is an equidigital number, since it uses as much as digits as its factorization.

113232021300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400439 (or 3400408 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113232021300000 its reverse (3120232311), we get a palindrome (113235141532311).

The spelling of 113232021300000 in words is "one hundred thirteen trillion, two hundred thirty-two billion, twenty-one million, three hundred thousand".