The pipe is generally constructed of iron, and its considered the property of the building owner (as opposed to government property, like the actual sewer, itself). That's why this pertains to you. More often than not, if you ever had a problem with your sewer laterals, it would definitely be in your best interest to contact your local plumbing professionals.
The main benefit of lining sewer laterals is that it fills in missing sections in the pipe, but there are many other pros besides that. It stops infiltration and ex-filtration; it eliminates intrusion of roots into the pipe; the procedure works on practically any initial piping material - cast, clay, etc; and there's no host pipe needed to complete the process.
All in all, if you're were thinking about maybe taking care of the procedure on your own, best of luck. This is definitely a home improvement project we do not suggest taking up DIY-style. Beyond not having the in-depth know-how to perform the procedure correctly, we're not sure where you'd find the equipment. So, it seems like it would turn out to be quite a hassle doing this on your own, instead of simply calling your local plumbing contractors.
You may think that you could take care of the problem, with a conventional pipe repair method - digging a trench, but it's very likely that you won't locate the exact point where the pipe needs repair. And, even if you do, you'll have made a mess of your yard, and put yourself in the face of some health risks.
If you suspect that that your sewer lateral is in need of repair, all you have to do is contact a local plumbing company. This why you won't be throwing your money directly down the drain.