To export references to LateX, you can create a BibTeX file for your references in Zotero by following steps:
Export to EndNote and Mendeley
To export to EndNote or Mendeley, you can save your references in RIS format.
Import to EndNote...
Import to Mendeley...
Zotero does not have official apps launched for mobile devices. However, there are some apps for Zotero created by third parties for iOS and Android devices. You can download the apps at App store or Google Play if you wish.