And then, in the External interrupt section, it only says Power-Down Mode.
4.5 External interrupt inputs
The LPC213x includes four External Interrupt Inputs as selectable pin functions. The External Interrupt Inputs can optionally be used to wake up the processor from Power-down mode.
4.5.1 Register description
The external interrupt function has four registers associated with it. The EXTINT register contains the interrupt flags, and the EXTWAKEUP register contains bits that enable individual external interrupts to wake up the microcontroller from Power-down mode.