2112134113 has 2 divisors, whose sum is σ = 2112134114. Its totient is φ = 2112134112.

The previous prime is 2112134047. The next prime is 2112134131. The reversal of 2112134113 is 3114312112.

Together with next prime (2112134131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1371369024 + 740765089 = 37032^2 + 27217^2 .

It is a cyclic number.

It is not a de Polignac number, because 2112134113 - 2²⁹ = 1575263201 is a prime.

It is a super-2 number, since 2×2112134113² = 8922221022596593538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2112134513) 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 as a sum of consecutive naturals, namely, 1056067056 + 1056067057.

It is an arithmetic number, because the mean of its divisors is an integer number (1056067057).

Almost surely, 2^2112134113 is an apocalyptic number.

It is an amenable number.

2112134113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2112134113 is an equidigital number, since it uses as much as digits as its factorization.

2112134113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 144, while the sum is 19.

The square root of 2112134113 is about 45957.9602789332. The cubic root of 2112134113 is about 1283.0408887500.

Adding to 2112134113 its reverse (3114312112), we get a palindrome (5226446225).

The spelling of 2112134113 in words is "two billion, one hundred twelve million, one hundred thirty-four thousand, one hundred thirteen".