413132012000 has 48 divisors (see below), whose sum is σ = 1015065363312. Its totient is φ = 165252803200.

The previous prime is 413132011967. The next prime is 413132012047. The reversal of 413132012000 is 210231314.

It is a self number, because there is not a number n which added to its sum of digits gives 413132012000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51637502 + ... + 51645501.

It is an arithmetic number, because the mean of its divisors is an integer number (21147195069).

Almost surely, 2^413132012000 is an apocalyptic number.

413132012000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413132012000 is an abundant number, since it is smaller than the sum of its proper divisors (601933351312).

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

413132012000 is a wasteful number, since it uses less digits than its factorization.

413132012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103283028 (or 103283010 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 413132012000 its reverse (210231314), we get a palindrome (413342243314).

The spelling of 413132012000 in words is "four hundred thirteen billion, one hundred thirty-two million, twelve thousand".