Hello Daniel,
Could you help us share the following information:
Are you are testing an SDK example?
Are you are using and NXP board or LPC5536 custom board? If so, could you help us sharing your connections in schematics with the PIO0_13?
Could you help us bring information about what will be the use of this pin?
In Reference Manual Chapter 7.2.1 features, comment about that PIO_13 and PIO_14 are a combo for I2C/MFIO (Multi-Function Input Output), this is the difference with a standard pin configuration [MFIO], and in Chapter 7.3, [Figure 8] is a representation on this configuration to compare to a Standard GPIO pin configuration [Figure 7].
In addition, for reviewing your custom board design alongside the Hardware Design Guidelines [AN13707] NXP recommend checking the EVK Board Design Files for validation.
The link for LPC5536 EVK board files is here LPC5536-EVK Design Files
In the Evaluation board the P0_13 and P0_14 are connected to a pull-up resistor, so is expected to measure 3.3v and only to behave as open drain when configured.
Best Regards