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balanced n.  and  emirp

First numbers that belong to both sets:

37, 149, 709, 3221, 3347, 7027, 7187, 7193, 7433, 7841, 7949, 9011, 9013, 9161, 9173, 9209, 9257, 9293, 9403, 9421, 9547, 9551, 9613, 9781, 9803, 9833, 9923, 10009, 10177, 10253, 10333, 10343, 10391, 10453, 10457, 10613, 10711, 10781, 10853, 10891, 10987, 11003, 11057, 11161, 11243, 11353, 11489, 11587, 11593, 11657, 11699, 11783, 11789, 11833, 11909, 11927, 11969, 12071, 12491, 12619, 12641, 12697, 12713, 12799, 12829, 12907, 13009, 13441, 13469, 13477, 13513, 13591, 13711, 13873, 13903, 14029, 14071, 14153, 14387, 14423, 14447, 14449, 14621, 14629, 14633, 14897, 14923, 14929, 15013, 15377, 15493, 15497, 15649, 15733, 15937, 16001, 16063, 16073, 16103, 16111, 16127, 17021, 17599, 17827, 17839, 17911, 18013, 33199, 33391, 33623, 33911, 34141, 34471, 34583, 34589, 34603, 34613, 34673, 34757, 35051, 35159, 35227, 35257, 35419, 35437, 35531, 35569, 35983, 36013, 36209, 36739, 37199, 37463, 37547, 37549, 37561, 37589, 37781, 37991, 37997, 38039, 38219, 38723, 38737, 39439, 39451, 39749, 39989, 131581, 131959, 132059, 132071, 132287, 132851, 132857, 132967, 133069, 133097, 133583, 133853, 134207, 134263, 134269, 134359, 134363, 134777, 134867, 134951, 135017, 135059, 135599, 135613, 135887, 136379, 136621, 136651, 136861, 136987, 136999, 137519, 137587, 137639, 137653, 137713, 137831, 137909, 137941, 138007, 138041, 138511, 138581, 138899, 139201, 139511, 139871, 139991, 140237, 140249, 140411, 140603, 140831, 141101, 141157, 141161, 141209, 141499, 141623, 141719, 141871, 142151, 142169, 142757, 142949, 143111, 143249, 143821, 143833, 144071, 144167, 144323, 144439, 144541, 144563, 144941, 144973, 145043, 145283, 145463, 145487, 145501, 145721, 145777, 145799, 145861, 146021, 146033, 146309, 146521, 146581, 146609, 146701, 146819, 147137, 147583, 148151, 148157, 148429, 148663, 148711, 148891, 148921, 149053, 149159, 149173, 149287, 149333, 149411, 149623, 149627, 149867, 149993, 150221, 150299, 150329, 150343, 150559, 150607, 150883, 150889, 151153, 151189, 151241, 151303, 151429, 151783, 152219, 152293, 152377, 152461, 152623.

Some larger examples :