windwalker wrote:13.1 billion years is the same as 13.1 billion light years.
It's not. A year is a unit of time, a light year is a unit of length (the distance light travels in a year).
13.1 billion years are 13.1 billion years, whereas 13.1 billion light years are, well calculate yourself in km or miles if you want.
Wikipedia:
A light-year, also light year or lightyear, (symbol:ly) is a unit of length, equal to just under 10 trillion kilometres (1016 metres, 10 petametres or 6 trillion miles). As defined by the International Astronomical Union (IAU), a light-year is the distance that light travels in a vacuum in one Julian year.
One light-year is equal to:
exactly 9,460,730,472,580.8 km (about 9.5 Pm)
about 5,878,625,373,183.608 miles (about 6 trillion miles)
about 63,241.1 astronomical units
about 0.306601 parsecs
exactly 31,557,600 light-seconds