111211100000113 has 16 divisors (see below), whose sum is σ = 113643876096000. Its totient is φ = 108797856885760.

The previous prime is 111211100000093. The next prime is 111211100000123. The reversal of 111211100000113 is 311000001112111.

It is not a de Polignac number, because 111211100000113 - 2¹⁷ = 111211099869041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 111211100000093 and 111211100000102.

It is not an unprimeable number, because it can be changed into a prime (111211100000123) 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 15 ways as a sum of consecutive naturals, for example, 4665543 + ... + 15626563.

It is an arithmetic number, because the mean of its divisors is an integer number (7102742256000).

Almost surely, 2^{111211100000113} is an apocalyptic number.

It is an amenable number.

111211100000113 is a deficient number, since it is larger than the sum of its proper divisors (2432776095887).

111211100000113 is a wasteful number, since it uses less digits than its factorization.

111211100000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10961912.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 111211100000113 its reverse (311000001112111), we get a palindrome (422211101112224).

The spelling of 111211100000113 in words is "one hundred eleven trillion, two hundred eleven billion, one hundred million, one hundred thirteen", and thus it is an aban number.