Direct Message limitations


#1

Is there a limit in sending the Direct-Message to the followers from my app? Through the streaming-api I receive the direct messages the account followers send. Based on the message I do some business logic and respond back with a text message using the REST API. I read in this doc (https://support.twitter.com/articles/15364-twitter-limits-api-updates-and-following) which says there is limit sending Direct-Messages to 1000? Do that apply to the apps too? How about many apps of the same account sending messages?