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interprime n.  and  upside-down n.

First numbers that belong to both sets:

64, 3197, 4286, 4646, 6914, 7913, 19519, 26548, 65554, 67534, 115599, 116499, 122889, 123789, 126489, 128289, 134679, 142869, 144669, 159159, 172839, 178239, 181929, 184629, 185529, 195519, 221988, 234678, 236478, 241968, 244668, 251958, 259158, 263748, 266448, 272838, 284628, 289128, 298218, 321987, 328287, 332877, 336477, 353757, 365547, 373737, 381927, 393717, 411996, 412896, 418296, 419196, 423786, 438276, 443766, 449166, 462846, 465546, 466446, 493716, 497316, 512895, 518295, 522885, 523785, 538275, 545565, 549165, 551955, 561945, 563745, 567345, 576435, 617394, 618294, 622884, 633774, 637374, 641964, 648264, 657354, 661944, 687324, 693714, 694614, 719193, 725583, 756453, 757353, 764643, 777333, 821982, 822882, 823782, 829182, 857352, 875532, 876432, 894612, 897312, 898212, 912891, 923781, 928281, 932871, 933771, 934671, 938271, 951951, 952851, 963741, 967341, 989121, 1345679, 1685249, 1815929, 2885228, 4145696, 4325876, 4365476, 4395176, 4415966, 4625846, 4695146, 4755536, 4875326, 4965416, 5175395, 5425865, 6115994, 6175394, 6385274, 6755534, 6965414, 7785233, 7925813, 8395172, 8585252, 9655541, 11555599, 13328779, 13455679, 13528579, 13846279, 14564569, 15219859, 15464659, 15819259, 15919159, 16828249, 17219839, 17337739, 17728339, 17837239, 18937129, 19182919, 19573519, 19691419, 19955119, 21164998, 22419688, 22564588, 23264878, 23391778, 23864278, 24155968, 24382768, 24682468, 24691468, 24828268, 26728348, 26828248, 26973148, 27364738, 27619438, 28864228, 29337718, 31537597, 31637497, 31973197, 31991197, 32455687, 32964187, 33173977, 33891277, 34164967, 35319757, 35519557, 35691457, 35773357, 35873257, 36173947, 36246847, 36882247, 37628437, 37864237, 38128927, 38219827, 38591527, 38619427, 39591517, 39655417, 39673417, 39764317, 41128996, 41228896, 41273896, 41364796, 41719396, 41973196, 41982196, 42464686, 42591586, 42773386, 43537576, 43919176, 43964176, 44328766, 44382766, 44546566, 44855266, 45191956, 45264856, 45428656, 45437656, 45737356, 46328746, 46428646, 46873246, 47291836, 47419636, 47537536, 47546536, 47855236, 48155926, 48182926, 48246826, 48328726, 48537526, 48719326, 48973126, 49646416, 49919116, 51164995, 51191995, 51464695, 51491695, 51555595, 51655495, 51864295, 51882295, 51891295, 52119985, 52155985, 52255885, 52373785, 52691485, 52791385, 52955185, 53146975, 53664475, 53719375, 53846275, 54191965, 54219865, 54337765, 54628465, 55537555, 55646455, 55664455, 55782355, 56137945, 56264845, 56337745, 56473645, 56528545, 56573545, 56682445, 56773345, 56919145.

Some larger examples :