[javascript] Javascript, Time and Date: Getting the current minute, hour, day, week, month, year of a given millisecond time

Additionally, how do I retrieve the number of days of a given month?

Aside from calculating it yourself (and consequently having to get leap years right), you can use a Date calculation to do it:

var y= 2010, m= 11;            // December 2010 - trap: months are 0-based in JS

var next= Date.UTC(y, m+1);    // timestamp of beginning of following month
var end= new Date(next-1);     // date for last second of this month
var lastday= end.getUTCDate(); // 31

In general for timestamp/date calculations I'd recommend using the UTC-based methods of Date, like getUTCSeconds instead of getSeconds(), and Date.UTC to get a timestamp from a UTC date, rather than new Date(y, m), so you don't have to worry about the possibility of weird time discontinuities where timezone rules change.