Total Debt of UPS is $10.846B
From the balance sheet in the last 10-K filed:
Current Portion of L-T Debt is $.349B
L-T Debt is $10.491B
So, Total Debt is $10.846B
The author of the article apparently is using 'total liabilities' as debt. In financial analysis, debt is regarded as those obligations which are interest-bearing. Items such as 'deferred income tax liabilities' or 'accounts payable' do not incur interest charges, so while they are obligations, they are not considered 'debt' in terms of capitalization.