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evil n.  and  strobogrammatic n.

First numbers that belong to both sets:

96, 101, 111, 609, 619, 808, 888, 1111, 6119, 6889, 6969, 8118, 8698, 8888, 8968, 9696, 9886, 10001, 10801, 11011, 16191, 18081, 18181, 18881, 19061, 19161, 19861, 60109, 66099, 68189, 69869, 80008, 81018, 86098, 86198, 88088, 91116, 91816, 96196, 98886, 101101, 106901, 108801, 110011, 111111, 116911, 118811, 160091, 180081, 186981, 189681, 196961, 198861, 600009, 601109, 606909, 608809, 616919, 619619, 666999, 668899, 680089, 681189, 686989, 688889, 689689, 690069, 691169, 696969, 698869, 699669, 808808, 809608, 810018, 818818, 861198, 866998, 869698, 880088, 888888, 889688, 890068, 891168, 896968, 898868, 906906, 909606, 916916, 918816, 968896, 986986, 988886, 990066, 996966, 999666, 1000001, 1001001, 1011101, 1018101, 1060901, 1068901, 1088801, 1091601, 1100011, 1101011, 1111111, 1118111, 1181811, 1188811, 1190611, 1191611, 1198611, 1601091, 1608091, 1611191, 1618191, 1660991, 1668991, 1680891, 1681891, 1688891, 1690691, 1691691, 1698691, 1808081, 1810181, 1860981, 1861981, 1868981, 1881881, 1891681, 1900061, 1910161, 1911161, 1918161, 1960961, 1961961, 1980861, 1988861, 1990661, 1991661, 1998661, 6000009, 6001009, 6010109, 6011109, 6018109, 6088809, 6091609, 6098609, 6108019, 6111119, 6160919, 6168919, 6188819, 6190619, 6191619, 6198619, 6600099, 6601099, 6608099, 6611199, 6618199, 6660999, 6668999, 6680899, 6681899, 6688899, 6690699, 6801089, 6808089, 6810189, 6860989, 6868989, 6881889, 6891689, 6901069, 6910169, 6960969, 6961969, 6981869, 6988869, 6991669, 6998669, 8000008, 8001008, 8008008, 8010108, 8060908, 8061908, 8068908, 8088808, 8091608, 8098608, 8101018, 8111118, 8160918, 8161918, 8168918, 8180818, 8188818, 8191618, 8198618, 8601098, 8608098, 8610198, 8660998, 8661998, 8680898, 8690698, 8800088, 8801088, 8808088, 8810188, 8860988, 8861988, 8868988, 8881888, 8888888, 8898688, 8901068, 8908068, 8961968, 8981868, 8988868, 8990668, 8998668, 9001006, 9010106, 9060906, 9061906, 9068906, 9081806, 9088806, 9090606, 9100016, 9110116, 9168916, 9180816, 9181816, 9188816, 9191616, 9600096, 9601096, 9608096, 9660996, 9661996, 9680896, 9681896, 9690696, 9691696, 9801086, 9808086, 9810186, 9818186, 9880886, 9881886, 9890686, 9900066, 9910166, 9911166, 9918166, 9960966, 9961966, 9968966, 9980866, 9981866, 10088001, 10111101, 10169101, 10600901, 10611901, 10688901, 10869801, 10888801, 10896801, 10900601, 11000011, 11069011, 11088011.

Some larger examples :