413132113505200 has 30 divisors (see below), whose sum is σ = 992549902697204. Its totient is φ = 165252845401920.

The previous prime is 413132113505171. The next prime is 413132113505219. The reversal of 413132113505200 is 2505311231314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 516415141482 + ... + 516415142281.

Almost surely, 2^{413132113505200} is an apocalyptic number.

413132113505200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413132113505200 is an abundant number, since it is smaller than the sum of its proper divisors (579417789192004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413132113505200 is a wasteful number, since it uses less digits than its factorization.

413132113505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032830283781 (or 1032830283770 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 413132113505200 its reverse (2505311231314), we get a palindrome (415637424736514).

The spelling of 413132113505200 in words is "four hundred thirteen trillion, one hundred thirty-two billion, one hundred thirteen million, five hundred five thousand, two hundred".