11112111112133 has 2 divisors, whose sum is σ = 11112111112134. Its totient is φ = 11112111112132.

The previous prime is 11112111112087. The next prime is 11112111112169. The reversal of 11112111112133 is 33121111121111.

It is a m-pointer prime, because the next prime (11112111112169) can be obtained adding 11112111112133 to its product of digits (36).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11010603877729 + 101507234404 = 3318223^2 + 318602^2 .

It is a cyclic number.

It is not a de Polignac number, because 11112111112133 - 2²⁰ = 11112110063557 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11112111112633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5556055556066 + 5556055556067.

It is an arithmetic number, because the mean of its divisors is an integer number (5556055556067).

Almost surely, 2^{11112111112133} is an apocalyptic number.

It is an amenable number.

11112111112133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11112111112133 is an equidigital number, since it uses as much as digits as its factorization.

11112111112133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36, while the sum is 20.

Adding to 11112111112133 its reverse (33121111121111), we get a palindrome (44233222233244).

The spelling of 11112111112133 in words is "eleven trillion, one hundred twelve billion, one hundred eleven million, one hundred twelve thousand, one hundred thirty-three".