GRB 170113***A***, Swift-BAT refined analysis S. D. Barthelmy (GSFC), J. R. Cummings (CPI), N. Gehrels (GSFC), H. A. Krimm (NSF/USRA), A. Y. Lien (GSFC/UMBC), C. B. Markwardt (GSFC), D. M. Palmer (LANL), T. Sakamoto (AGU), M. Stamatikos (OSU), T. N. Ukwatta (LANL) (i.e. the Swift-BAT team): Using the data set from T-804 to T+962 sec from the recent telemetry downlink, we report further analysis of BAT GRB 170113***A*** (trigger #732526) (NAME, et al., GCN Circ. xxxx). The BAT ground-calculated position is RA, Dec = 61.749, -71.936 deg which is RA(J2000) = 04h 06m 59.8s Dec(J2000) = -71d 56' 10.0" with an uncertainty of 1.3 arcmin, (radius, sys+stat, 90% containment). The partial coding was 86%. [Description about the mask-weighted light curve] T90 (15-350 keV) is 20.3 +- 4.3 sec (estimated error including systematics). The time-averaged spectrum from T-0.6 to T+22.9 sec is best fit by a power law with an exponential cutoff. This fit gives a photon index 0.74 +- 0.59, and Epeak of 71.8 +- 31.1 keV (chi squared 68.66 for 56 d.o.f.). For this model the total fluence in the 15-150 keV band is 6.6 +- 0.7 x 10^-07 erg/cm2 and the 1-sec peak flux measured from T+1.63 sec in the 15-150 keV band is 1.1 +- 0.1 ph/cm2/sec. A fit to a simple power law gives a photon index of 1.57 +- 0.12 (chi squared 75.75 for 57 d.o.f.). All the quoted errors are at the 90% confidence level. The results of the batgrbproduct analysis are available at http://gcn.gsfc.nasa.gov/notices_s/732526/BA/