I factored the two 135-digit numbers, n and n+1 using cado-nfs-1.1 on an
Intel i7-3930K overclocked to 4.2GHz with 18GiB RAM, running up to 10 threads.
Factoring the numbers, n and n+1 took 10 days each, a total of 20 days.
n has 5 factors and n+1 has two factors.
n:= [2,
5,
2122943609450249057621,
405620061201508643988375124643817406843652803,
34444340671702467488860342883734479061576134487870291451728421045657];
mn+1:= [17222170335851233744430171441867239530788067265164581820366701099039,
17222170335851233744430577061928441039432055599953297058218812657049];
The sum of the factors is
34444340671702467488860748503795680570220122865117878878585513756088
So, this is a Ruth-Aaron pair.
Tom Dean