201211112011113 has 32 divisors (see below), whose sum is σ = 302543290448000. Its totient is φ = 132137050180608.

The previous prime is 201211112011111. The next prime is 201211112011177. The reversal of 201211112011113 is 311110211112102.

It is not a de Polignac number, because 201211112011113 - 2¹ = 201211112011111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (201211112011111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160363413 + ... + 161613261.

It is an arithmetic number, because the mean of its divisors is an integer number (9454477826500).

Almost surely, 2^{201211112011113} is an apocalyptic number.

It is an amenable number.

201211112011113 is a deficient number, since it is larger than the sum of its proper divisors (101332178436887).

201211112011113 is a wasteful number, since it uses less digits than its factorization.

201211112011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338918 (or 1338912 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 201211112011113 its reverse (311110211112102), we get a palindrome (512321323123215).

The spelling of 201211112011113 in words is "two hundred one trillion, two hundred eleven billion, one hundred twelve million, eleven thousand, one hundred thirteen".