This article presents a low-power bandgap reference (BGR) featuring high power supply rejection ratio (PSRR) and fast start-up capability, operating across a wide supply voltage range of 1.3–5 V. A novel prebiased pulse current injection technique is proposed in the start-up circuit, achieving a 1% settling time of$50~\mu $s and a$25\times $speed gain during start-up. To enhance supply noise immunity, the proposed BGR employs a preregulated (PR)-based amplifier that effectively decouples the reference voltage from supply voltage fluctuations. Fabricated in a 0.18-$\mu $m BCD process, the proposed reference occupies an active area of 0.0394 mm2. Under a 5 V supply, the circuit generates a 1.2 V reference voltage while consuming only 48 nA quiescent current. Operating down to a minimum supply voltage of 1.3 V, it maintains a low power consumption of 57.2 nW at room temperature. The reference exhibits an average temperature coefficient (TC) of 5.95 ppm/°C across a wide temperature range ($- 40~^{\circ }$C to$125~^{\circ }$C) and achieves an outstanding line sensitivity (LS) of 0.00308%/V over the 1.3–5 V supply range. Furthermore, the measured PSRR reaches −85 dB at 100 Hz.