The machine is rated to put a 13mm drillbit through steel. You could use a larger drillbit in softer materials such as aluminium.
Alternatively, to make larger holes in steel, use an HSS or carbide holesaw. The limiting factor is often the spindle speed; what's the slowest the machine will run?
a 13mm drill should be run at about 350rpm in steel. Some kind of coolant or lubricant always helps - the drills will last longer, the machine will need less power and there's less chance of the drill grabbing and throwing the vice off the table (ask me how I know this...).
If you keep slacking pressure off the quill every couple of seconds, the long bits of swarf will break up - makes clearing up easier.
If you want to use (say) a 26mm hole saw, just half this speed. Because hole saws leave the middle bit whole, they take a lot less torque than normal drillbits. Just clear the chips often, or pre-drill a 6mm hole for the teeth to pass over and dump their chips through.
Same diameter, same speed for drill bits and end mills in the same material. The cutting speed is calculated from the tool diameter and cutting speed of the material. About 100 ft/min for mild steel with HSS tools. Optimum cutting feed is normally dependant on quantity of coolant and power of machine/finish required for general purpose work. W/A