The short answer, explained
Normally, unpaid company tax is the company's debt, not the director's. A personal liability notice, often called a PLN, is one of the exceptions. It moves specific National Insurance debt onto a named individual.
HMRC can only issue one where it decides the company's failure to pay NIC resulted from fraud or neglect by that particular officer, not simply because the company ran out of money.
It's separate from corporation tax and from insolvency proceedings. A PLN targets Class 1 National Insurance contributions specifically, and it names the individual director personally liable for a stated amount.

