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JotForm is a free online form builder which helps you create online forms without writing a single line of code. No sign-up required.
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This is odd, you are right, there is not an API key on your account:
I will send this to our back-end team for further investigation. You will be updated via this thread.
The issue is fixed now. We had a temporary issue on the EU servers that caused a malfunction on API call limits.
On another note, even if you don't define a unique API key, authorized apps (in your case Zapier), integrations and widgets, will use API calls off your daily limit in order to operate. For further information please take a look at our Daily API Call Limits user guide.