112112129113 has 2 divisors, whose sum is σ = 112112129114. Its totient is φ = 112112129112.

The previous prime is 112112129111. The next prime is 112112129147. The reversal of 112112129113 is 311921211211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112099075344 + 13053769 = 334812^2 + 3613^2 .

It is a cyclic number.

It is not a de Polignac number, because 112112129113 - 2¹ = 112112129111 is a prime.

Together with 112112129111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (112112129111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56056064556 + 56056064557.

It is an arithmetic number, because the mean of its divisors is an integer number (56056064557).

Almost surely, 2^112112129113 is an apocalyptic number.

It is an amenable number.

112112129113 is a deficient number, since it is larger than the sum of its proper divisors (1).

112112129113 is an equidigital number, since it uses as much as digits as its factorization.

112112129113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 216, while the sum is 25.

The spelling of 112112129113 in words is "one hundred twelve billion, one hundred twelve million, one hundred twenty-nine thousand, one hundred thirteen".