You say processing? Is that what you mean or do you mean pre-production?
As you can see here the processing relates to payment.
https://www.pcspecialist.co.uk/images/main/status_guide.png
Did you pay by taking out finance? If not are you sure your payment went through as planned?
if its pre production, I'm sure it will go into building soon. Might be worth calling just to double check a component isn't missing or something.
, im sure if you ring them they might push it up in the line
I hope that is not the case, if business operate like that then it does look bad.
But if it's 13 days then it's different, if people were ringing up the day they ordered it and they upped it then maybe but if it's been 13 days he should have leverage over people who only just ordered it.