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plaindrome  and  Ulam n.

First numbers that belong to both sets:

1, 2, 3, 4, 6, 8, 11, 13, 16, 18, 26, 28, 36, 38, 47, 48, 57, 69, 77, 99, 114, 126, 138, 145, 148, 155, 177, 189, 236, 238, 258, 339, 356, 358, 456, 566, 568, 668, 688, 1125, 1155, 1157, 1167, 1169, 1257, 1335, 1338, 1355, 1377, 1389, 1489, 2247, 2249, 2288, 2445, 2447, 2589, 2789, 2899, 3368, 3456, 3669, 4578, 4666, 4668, 5599, 6889, 7779, 11146, 11148, 11168, 11226, 11229, 11234, 11236, 11256, 11258, 11278, 11344, 11346, 11366, 11368, 11388, 11456, 11588, 11688, 11779, 12245, 12248, 12267, 12336, 12338, 12468, 12578, 12788, 13369, 13399, 13455, 13457, 13477, 13479, 13677, 13689, 13799, 14449, 14488, 14557, 14559, 14579, 14689, 14799, 15688, 15788, 22234, 22246, 22249, 22344, 22356, 22359, 22378, 22469, 22488, 22679, 22789, 23334, 23336, 23588, 23678, 24458, 24477, 24599, 24888, 25599, 25789, 25899, 27778, 33357, 33359, 33445, 33447, 33459, 33479, 33589, 34666, 34669, 34688, 34999, 35556, 35558, 35578, 35666, 35668, 35888, 37779, 44479, 44499, 44699, 44799, 45579, 46678, 47788, 55555, 55558, 55668, 58888, 68999, 77788, 88889, 111114, 111117, 111119, 111249, 111337, 111339, 111378, 111444, 111557, 111559, 111588, 111679, 112456, 112458, 112478, 112566, 112568, 112588, 112678, 112778, 113389, 113477, 113499, 113778, 114445, 114447, 114467, 114469, 114569, 114799, 115569, 115889, 115999, 118999, 122222, 122288, 122479, 122567, 122569, 122589, 122699, 122779, 123456, 123478, 123688, 124468, 124556, 124558, 124578, 124666, 124668, 125589, 125699, 126777, 126779, 126799, 133345, 133347, 133389, 133667, 133689, 133777, 133799, 134444, 134469, 134488, 134557, 134559, 134579, 134667, 134669, 134799, 135678, 135788, 136678, 136888, 138899, 144448, 144455, 144477, 144499, 144555, 144558, 144599, 145577, 145579, 145599, 145677, 146999, 147888, 149999, 155556, 155558, 156677, 157777, 157779, 157799, 166678, 166788, 167778, 177779, 222279, 222367, 222369, 222389, 222579, 222589, 222689, 223334, 223359, 223447, 223449.

Some larger examples :