An endowment fund is set up with a donation of $$130,000.$ If it earns $7\mathrm{.}0\%$ compounded monthly, for how long will it sustain end$-$of$-$month withdrawals of $$1,300?($Include the final smaller withdrawal.$)($Do not round intermediate calculations and round up the number of payments, n$,$ to the next whole number.$)$