How do you handle outpatient messages, med refills, labs, etc while on tough inpatient rotations (for my primary care friends)?

Genuinely curious about how your residency tells you to handle this. We're expected to keep up with these things for all of our patients while we're busting our ass in the hospital for 12-14+ hours. Some days I just don't have the time to check up on messages, med refills, etc and I feel like my patients get untimely responses as a result. Is this a normal thing? It seems like there has to be a better system...