112000111133 has 2 divisors, whose sum is σ = 112000111134. Its totient is φ = 112000111132.

The previous prime is 112000111061. The next prime is 112000111199. The reversal of 112000111133 is 331111000211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82896774724 + 29103336409 = 287918^2 + 170597^2 .

It is an emirp because it is prime and its reverse (331111000211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112000111133 - 2²² = 111995916829 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112000110133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56000055566 + 56000055567.

It is an arithmetic number, because the mean of its divisors is an integer number (56000055567).

Almost surely, 2^112000111133 is an apocalyptic number.

It is an amenable number.

112000111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

112000111133 is an equidigital number, since it uses as much as digits as its factorization.

112000111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 112000111133 its reverse (331111000211), we get a palindrome (443111111344).

The spelling of 112000111133 in words is "one hundred twelve billion, one hundred eleven thousand, one hundred thirty-three".