211200112113 has 8 divisors (see below), whose sum is σ = 283626050400. Its totient is φ = 139787124288.

The previous prime is 211200112099. The next prime is 211200112117. The reversal of 211200112113 is 311211002112.

211200112113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 211200112113 - 2¹⁸ = 211199849969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211200112092 and 211200112101.

It is not an unprimeable number, because it can be changed into a prime (211200112117) 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 7 ways as a sum of consecutive naturals, for example, 253237128 + ... + 253237961.

It is an arithmetic number, because the mean of its divisors is an integer number (35453256300).

Almost surely, 2^211200112113 is an apocalyptic number.

It is an amenable number.

211200112113 is a deficient number, since it is larger than the sum of its proper divisors (72425938287).

211200112113 is a wasteful number, since it uses less digits than its factorization.

211200112113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506475231.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 211200112113 its reverse (311211002112), we get a palindrome (522411114225).

The spelling of 211200112113 in words is "two hundred eleven billion, two hundred million, one hundred twelve thousand, one hundred thirteen".