The year 1013 AD.
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One billion seconds ago is roughly the equivalent of 31.7 years ago, using the US definition of one billion. One billion is one thousand millions.
That's called a millenium.
Ten thousand years is called a "decamillennium." The term "millennium" refers to a period of one thousand years, so ten of these periods constitute a decamillennium. In broader historical contexts, such long time spans can also be referred to in terms of epochs or eras, depending on the specific focus of study.
One thousand million of anything is a billion of it.
A unit of mass equal to one thousand kilograms is called a megagram.