I think as hotels usually, but not always, charge a premium for a single room anyway, you may as well book a double room for the whole 13 days, Ive tried to check online for those dates, tried On the Beach, Sunshine and Alpharooms, they all listed the Area Hotel but no availability.
The hotels phone numbers, if you want to try to phone, is
+90 212 511 74 10
+90 212 511 78 67
Or maybe someone else on this forum knows the hotel and could be of greater assistance
Good luck!