113332231101100 has 216 divisors, whose sum is σ = 274948015325760. Its totient is φ = 40506508732800.

The previous prime is 113332231101091. The next prime is 113332231101149. The reversal of 113332231101100 is 1101132233311.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6712793259 + ... + 6712810141.

It is an arithmetic number, because the mean of its divisors is an integer number (1272907478360).

Almost surely, 2^{113332231101100} is an apocalyptic number.

113332231101100 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 113332231101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137474007662880).

113332231101100 is an abundant number, since it is smaller than the sum of its proper divisors (161615784224660).

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

113332231101100 is a wasteful number, since it uses less digits than its factorization.

113332231101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26381 (or 26363 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 113332231101100 its reverse (1101132233311), we get a palindrome (114433363334411).

The spelling of 113332231101100 in words is "one hundred thirteen trillion, three hundred thirty-two billion, two hundred thirty-one million, one hundred one thousand, one hundred".