1111111111113

1111111111113 is a prime number. It is a thirteen-digit number consisting of twelve ones followed by a three. This number is part of the sequence of repunits, which are numbers consisting of only the digit one. Specifically, it is related to R13, the repunit with thirteen digits, which is 1111111111111. The number 1111111111113 is 1111111111111 + 2.

The primality of 1111111111113 has been established through computational number theory methods. Numbers of this form, which are repunits plus a small constant, do not follow a simple formula for their primality. Their properties are often investigated in the context of number theory research. The discovery and verification of its primality contribute to the understanding of prime number distribution and the characteristics of numbers with specific digit patterns. Further analysis of this number might involve its factorization into smaller primes if it were composite, or its use in cryptographic algorithms if it possessed certain desirable properties. However, its primary significance lies in its classification as a prime number.