Values of {n,m} such that
m=TITO(n)>n, and TITO(m)=n or  
m=A161594(n)>n, andA161594(m)=n,
n=>m=>n:
141 pairs {n,m} for n<30000:

{12,21}
{18,81}
{24,42}
{27,72}
{36,63}
{45,54}
{48,84}
{132,231}
{144,441}
{156,273}
{198,891}
{264,462}
{276,483}
{288,882}
{291,732}
{297,792}
{372,651}
{375,573}
{396,693}
{405,504}
{492,861}
{495,594}
{528,825}
{576,675}
{1089,9801}
{1212,2121}
{1236,2163}
{1287,9603}
{1356,2373}
{1359,9531}
{1452,2541}
{1572,2751}
{1584,4851}
{1629,9261}
{1683,9207}
{1728,8271}
{1812,2181}
{1818,8181}
{2002,4774}
{2067,5523}
{2079,9702}
{2178,8712}
{2304,4032}
{2424,4242}
{2532,4431}
{2676,4683}
{2721,7212}
{2727,7272}
{2781,7218}
{2796,4893}
{2991,7932}
{3056,6503}
{3069,7821}
{3234,4323}
{3267,7623}
{3456,6543}
{3474,8307}
{3528,8253}
{3636,6363}
{3663,7227}
{3732,6531}
{3756,6573}
{3861,7029}
{3972,6951}
{4059,6831}
{4235,5324}
{4257,6633}
{4356,6534}
{4383,6507}
{4455,5544}
{4536,6354}
{4545,5454}
{4608,8064}
{4716,6174}
{4812,8421}
{4848,8484}
{5808,8085}
{6054,60045}
{6081,60612}
{6468,8646}
{6621,66012}
{8121,61212}
{8781,67812}
{9981,99018}
{12156,21273}
{12252,21441}
{12372,21651}
{12396,21693}
{12612,21081}
{13236,23163}
{13332,23331}
{13476,23583}
{13596,23793}
{13812,23181}
{13998,29991}
{14412,25221}
{14544,44541}
{14556,25473}
{14676,25683}
{14772,25851}
{15612,27321}
{15636,27363}
{15756,27573}
{15852,27741}
{15972,27951}
{16335,53361}
{17919,91971}
{18909,90981}
{19212,23721}
{19932,23991}
{19998,89991}
{20625,52602}
{21791,41492}
{21818,208181}
{22638,83622}
{23577,27474}
{24036,42063}
{24132,42231}
{24542,49994}
{24915,51942}
{25083,38052}
{25332,44331}
{25344,44352}
{25356,44373}
{25572,44751}
{25692,44961}
{26436,46263}
{26556,46473}
{26652,46641}
{26664,46662}
{27225,52272}
{27648,84672}
{27681,78612}
{27732,48531}
{27852,48741}
{27876,48783}
{27996,48993}
{29391,73932}
{29403,30492}
{29931,79332}
{29997,79992}