For a 13 week old pup about 4 hours is the length of time they can hold it. Puppies have to potty often. Its like having a new baby, lots of diaper changing(crate cleaning and potty time) and sleepless nights (potty breaks). Crate training is beneficial for the long haul. A clean puppy is a much easier traveling adult dog. The little guy needs your nurturing hand and interaction to develop into a bold confident dog. I don't advocate putting him in an outdoor kennel overnight. Too many bad things can happen when the little ones are left to their own entertainment in a bigger area. Proper socialization and positive exposure to all things new in a gradual process is best. http://www.forcefetch.com/blog/2013/10/teras-training-tip-of-the-day-48/
Not to mention the many unforeseen dangers an outdoor kennel can have; getting legs, collars, or heads caught up in the fence or getting stuck under kennel bars. Puppies can freak out in these cases and hurt themselves with you never knowing. I have horror stories that are too graphic to share about pups left in outdoor kennels unattended. We usually expose a pup to outdoor kennel building up increments of time spent in it, observe how they adjust and never leave them alone overnight in outdoor kennel until about 5 to 6 months old.
The sequence of crate training should be: air(have pup potty), then play in house, air again, put in crate to rest, pup wakes up or 3 to 4 hours later, air pup, back in crate (or playtime and air again), pup eats or drinks, air immediate, back in crate for nap, pup wakes, air again. If a pup has an accident during process pup needs to air, and go back in clean crate, then once he/she settles, air again, and back in crate. Very important to see pup potty before they get put away. Once pup gets used to routine they will sound off and let you know when its time to air. Seems tedious, I know but puppy belly's and bladders are tiny. Whenever they eat, drink, play for more than 10 minutes, or wake from a nap they need to potty right away. I usually keep two same sized crates in the house. That way if pup soils one I still have a clean one to put pup in while I clean extra crate with a mild dish soap. Sometimes no bedding in crate is best. This allows for you to catch accidents. Some puppies like to soil bedding, a bad habit to break. When you get them sleeping through the night without an accident you are really making progress.
Routine in Care : http://www.forcefetch.com/blog/2013/10/teras-training-tip-of-the-day-45/
Consistency Is Key: http://www.forcefetch.com/blog/2013/09/training-tip-of-the-day-28/
Take a Positive Approach: http://www.forcefetch.com/blog/2013/09/teras-training-tip-of-the-day-26/
Hope this helps!