113304141312100 has 144 divisors (see below), whose sum is σ = 248112120432960. Its totient is φ = 44910412185600.

The previous prime is 113304141312097. The next prime is 113304141312101. The reversal of 113304141312100 is 1213141403311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (113304141312101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9490247931 + ... + 9490259869.

It is an arithmetic number, because the mean of its divisors is an integer number (1723000836340).

Almost surely, 2^{113304141312100} is an apocalyptic number.

113304141312100 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 113304141312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124056060216480).

113304141312100 is an abundant number, since it is smaller than the sum of its proper divisors (134807979120860).

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

113304141312100 is a wasteful number, since it uses less digits than its factorization.

113304141312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14030 (or 14023 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 113304141312100 its reverse (1213141403311), we get a palindrome (114517282715411).

The spelling of 113304141312100 in words is "one hundred thirteen trillion, three hundred four billion, one hundred forty-one million, three hundred twelve thousand, one hundred".