113201301202200 has 288 divisors, whose sum is σ = 380585220600000. Its totient is φ = 30153876480000.

The previous prime is 113201301202163. The next prime is 113201301202261. The reversal of 113201301202200 is 2202103102311.

113201301202200 is a `hidden beast` number, since 1 + 1 + 320 + 1 + 3 + 0 + 120 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11468063265 + ... + 11468073135.

Almost surely, 2^{113201301202200} is an apocalyptic number.

113201301202200 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 113201301202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190292610300000).

113201301202200 is an abundant number, since it is smaller than the sum of its proper divisors (267383919397800).

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

113201301202200 is a wasteful number, since it uses less digits than its factorization.

113201301202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16243 (or 16231 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113201301202200 its reverse (2202103102311), we get a palindrome (115403404304511).

The spelling of 113201301202200 in words is "one hundred thirteen trillion, two hundred one billion, three hundred one million, two hundred two thousand, two hundred".