We present far-infrared ( FIR ) properties of an extremely luminous infrared galaxy ( ELIRG ) at z _ { spec } = 3.703 , WISE J101326.25+611220.1 ( WISE1013+6112 ) . This ELIRG is selected as an IR-bright dust-obscured galaxy ( DOG ) based on the photometry from the Sloan digital sky survey ( SDSS ) and wide-field infrared survey explorer ( WISE ) . In order to derive its accurate IR luminosity , we perform follow-up observations at 89 and 154 \micron using the high-resolution airborne wideband camera-plus ( HAWC+ ) on board the 2.7-m stratospheric observatory for infrared astronomy ( SOFIA ) telescope . We conduct spectral energy distribution ( SED ) fitting with CIGALE using 15 photometric data ( 0.4–1300 \micron ) . We successfully pin down FIR SED of WISE1013+6112 and its IR luminosity is estimated to be L _ { IR } = ( 1.62 \pm 0.08 ) \times 10 ^ { 14 } L _ { \sun } , making it one of the most luminous IR galaxies in the universe . We determine the dust temperature of WISE1013+6112 is T _ { dust } = 89 \pm 3 K , which is significantly higher than that of other populations such as SMGs and FIR-selected galaxies at similar IR luminosities . The resultant dust mass is M _ { dust } = ( 2.2 \pm 0.1 ) \times 10 ^ { 8 } M _ { \sun } . This indicates that WISE1013+6112 has a significant active galactic nucleus ( AGN ) and star-forming activity behind a large amount of dust .