Not specifying the make and model makes answering this more difficult than it should be.
Luckily, I know that the c:13:01 error is a Sony code because it happens so often! Officially it means that there's a circuit board error, but in practice it usually means that the memory stick has not made good contact with the camera circuitry.
First thing you can try is to simply remove and reinsert the card quickly a good few times, if it doesn't work by the 20th try then it's never going to work that way.
Next, remove the memory stick and use a clean
pencil eraser to thoroughly rub the electrical contacts to clean them. Blow away all traces of the rubber. It's vital that the eraser is clean to start with as any traces of conductive graphite can transfer from the eraser onto the contact area and make matters worse.
If that fails then simply try wiggling the memory stick once it's fully inserted. If that fixes it then it's not a very reliable fix and can fail again.
The final option is to dismantle the camera and remove the memory stick drive caddy to clean both the memory stick contacts and the flexible pcb connector contacts. It's not usually easy and risks permanent camera damage, so only do this if the camera is definitely out of warranty as you'll then have nothing to lose in trying. You haven't stated the model so I cannot give you specific model guidance, but if you click this link
you'll see a photo guide for one Sony model, courtesy of Digital Photography Review.
Once your camera is out of warranty it's value will usually be far lower than the cost of a professional repair, so DIY may be your only choice.
Good luck, and please take a moment to rate my reply.