At TTL voltages.
It can source a higher current when its voltage drop is allowed to be half the supply voltage.
It can sink a small current when its voltage drop is only 0.4V.
The datasheets from Texas Instruments have graphs that show the output current at three supply voltages and with any amount of voltage drop. The current is pretty high (typically 14mA) directly into an LED when the supply is 10V.
At TTL voltages.
It can source a higher current when its voltage drop is allowed to be half the supply voltage.
It can sink a small current when its voltage drop is only 0.4V.
The datasheets from Texas Instruments have graphs that show the output current at three supply voltages and with any amount of voltage drop. The current is pretty high (typically 14mA) directly into an LED when the supply is 10V.
That's exactly why I recommended to either use a low current (nominal 2mA) LED or drive a normal (20mA) LED via a transistor.
Anyway, even using a low current LED at Q13 of the 4060 it won't drive a 4013 properly anymore.
Connecting the LED to the output of the 4013 without any further load should make the LED flash at 1Hz.
Experience proves that CMOS-ICs get undefined output levels when connected to a current consuming element. (Their outputs become neither high nor low.)
A 4013 is a dual D-Flip-Flop and not a buffer! I can source and sink the same current as the 4060.
Are a low power NPN-transistor and two resistors beyond your budget?
As far as I know you want to control a time piece using the 4060 oscillator circuit.
Not having a frequency counter the problems will increase considerably using an NE555 timer circuit. It will probably take you a month to find out the precise 1Hz cycle. Temperature dependent frequency drift will change clock frequency so the time piece will become a time estimating device.