113120300201100 has 144 divisors (see below), whose sum is σ = 330389477220096. Its totient is φ = 29880245024000.

The previous prime is 113120300201071. The next prime is 113120300201141. The reversal of 113120300201100 is 1102003021311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113120300201100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302548270 + ... + 302921930.

It is an arithmetic number, because the mean of its divisors is an integer number (2294371369584).

Almost surely, 2^{113120300201100} is an apocalyptic number.

113120300201100 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 113120300201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165194738610048).

113120300201100 is an abundant number, since it is smaller than the sum of its proper divisors (217269177018996).

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

113120300201100 is a wasteful number, since it uses less digits than its factorization.

113120300201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383216 (or 383209 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113120300201100 its reverse (1102003021311), we get a palindrome (114222303222411).

The spelling of 113120300201100 in words is "one hundred thirteen trillion, one hundred twenty billion, three hundred million, two hundred one thousand, one hundred".