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palindromic n.  and  sphenic n.

First numbers that belong to both sets:

66, 222, 282, 434, 474, 494, 555, 595, 606, 646, 777, 969, 1001, 1221, 1551, 1771, 2222, 2882, 3333, 3553, 4334, 4994, 5335, 5555, 5665, 5885, 5995, 6226, 6446, 6886, 7337, 7557, 7667, 7777, 7887, 8338, 8558, 8998, 9339, 9669, 9779, 9889, 11211, 11811, 12121, 12621, 12921, 13731, 14241, 14541, 15051, 15951, 16261, 16761, 17171, 18381, 18681, 19491, 19591, 19691, 20002, 20702, 20802, 20902, 22222, 22922, 24042, 24342, 24542, 24742, 24942, 26062, 26162, 26462, 28082, 28282, 28382, 28582, 28882, 28982, 30003, 30503, 31413, 31913, 32123, 32223, 32523, 32623, 32923, 33333, 33733, 34143, 34743, 35553, 37373, 37973, 38283, 38883, 39093, 39193, 39693, 39893, 41114, 41214, 41914, 43334, 43934, 45154, 45354, 45854, 47174, 47274, 47474, 49594, 49994, 50005, 50105, 50205, 50405, 50605, 51815, 51915, 53635, 53735, 54245, 54345, 54645, 54845, 55155, 55255, 55455, 55555, 56165, 56465, 56665, 58785, 58985, 59095, 59395, 59495, 60106, 60706, 60906, 62326, 62626, 62726, 62926, 64046, 64146, 64546, 64946, 66266, 66466, 66566, 66866, 66966, 68086, 68186, 68386, 68686, 68786, 68986, 70007, 70807, 70907, 71517, 71617, 71817, 72127, 72427, 72527, 72627, 73337, 74847, 75057, 75257, 75757, 75957, 76067, 76467, 76867, 77577, 77777, 78987, 79097, 79597, 79797, 81318, 81818, 83138, 83238, 83738, 85058, 85258, 85458, 85558, 85758, 87378, 87478, 87878, 89198, 89498, 89798, 89898, 89998, 91119, 91419, 91819, 92229, 92729, 92929, 93439, 93939, 94449, 94549, 95259, 95459, 95559, 96069, 97179, 97279, 97679, 97779, 98589, 99199, 99399, 99499, 99699, 99799, 109901, 110011, 114411, 118811, 120021, 122221, 127721, 132231, 137731, 140041, 142241, 143341, 145541, 148841, 149941, 150051, 154451, 155551, 158851, 166661, 167761, 177771, 182281, 183381, 184481, 186681, 187781, 192291, 195591, 200002, 203302, 205502, 206602, 208802, 223322, 226622, 245542, 247742, 248842, 260062, 263362, 265562, 281182, 300003, 301103, 302203, 308803, 309903, 312213, 314413, 316613.

Some larger examples :