No, it is not.
No, it's about 2 x's the length of a 123 battery. You need a LFP123a, if you're wanting a rechargeable version of the common 123a 3 volt lithium battery that's commonly found in surefire and many other brands of lights. Keep in mind these rechargeable versions are not compatible with all bulbs due to the initial voltage spike from the rechargeable battery. So you may check with the manufacturer or distributor that you got your device from, just to confirm that rechargeables are safe to use before damaging expensive components! Also, light runtime is basically cut in half, although it is a sharp decline in power versus the standard 123 battery that seems to slowly fade out shortly after their first use. The advantages and disadvantages seem to be about equal when researching rechargeable versus non rechargeable batteries for lights, weapon sights, thermal, NV, etc. Ive got both and although i use rechargeable quite often at home, when out at night varmint hunting or using any type of high drain electronics away from home, I prefer to pack disposable lithium batteries To keep it simple, but thats just what I prefer, its one less thing I've got to mess with.