113100101111300 has 72 divisors (see below), whose sum is σ = 248058892980360. Its totient is φ = 44755668352000.

The previous prime is 113100101111279. The next prime is 113100101111317. The reversal of 113100101111300 is 3111101001311.

It can be written as a sum of positive squares in 12 ways, for example, as 7052285716996 + 106047815394304 = 2655614^2 + 10297952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7857152 + ... + 16968648.

It is an arithmetic number, because the mean of its divisors is an integer number (3445262402505).

Almost surely, 2^{113100101111300} is an apocalyptic number.

113100101111300 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 113100101111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124029446490180).

113100101111300 is an abundant number, since it is smaller than the sum of its proper divisors (134958791869060).

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

113100101111300 is a wasteful number, since it uses less digits than its factorization.

113100101111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112841 (or 9112834 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 113100101111300 its reverse (3111101001311), we get a palindrome (116211202112611).

The spelling of 113100101111300 in words is "one hundred thirteen trillion, one hundred billion, one hundred one million, one hundred eleven thousand, three hundred".