I keep getting sebum on the side of my nose. What on earth could be the reason?

I'm worried because I get sebum buildup on the sides of my nose too easily.
It feels fine after washing my face, but after just a short while, the sides of my nose get shiny and sebum starts to rise to the surface.

I cleanse thoroughly and exfoliate once or twice a week, but it doesn't seem to make much of a difference.
Actually, I'm cautious about trying various things because I'm worried that managing it too often might irritate my skin.

I've heard that the area around the nose naturally has a lot of sebum, but is there a reason why it is particularly severe only on the sides of my nose?
If anyone has had an Aqua Peel or other treatments at a dermatology clinic, I am curious to know if it helped with sebum control.