Hi,
I am sorry for the problems you have experienced whilst trying to call the NI helpline. I can assure you that lines are open every weekday from 8am to 6pm.
However in your case, this enquiry cannot be dealt with by telephone.
As you wish to pay for a period during which you lived outside of the UK, we need to ascertain if you are eligible to pay and at what rate.
This can only be done on receipt of a completed form CF83, which can be found on our website.
National Insurance and
Apply to pay voluntary National Insurance contributions when abroad (CF83)
Thank you.