We present 13 seasons of R-band photometry of the quadruply lensed quasar WFI J2033-4723 from the 1.3m SMARTS telescope at CTIO and the 1.2m Euler Swiss Telescope at La Silla, in which we detect microlensing variability of ~0.2mag on a timescale of ~6yrs. Using a Bayesian Monte Carlo technique, we analyze the microlensing signal to obtain a measurement of the size of this system's accretion disk of log(r_s_/cm)=15.86_-0.27_^+0.25^ at {lambda}rest=2481{AA}, assuming a 60{deg} inclination angle. We confirm previous measurements of the BC and AB time delays, and we obtain a tentative measurement of the delay between the closely spaced A1 and A2 images of {Delta}t_A1A2_=t_A1_-t_A2_=-3.9_-2.2_^+3.4^d. We conclude with an update to the Quasar Accretion Disk Size-Black Hole Mass Relation, in which we confirm that the accretion disk size predictions from simple thin disk theory are too small.