13217410000 has 100 divisors (see below), whose sum is σ = 33392585952. Its totient is φ = 5057008000.

The previous prime is 13217409991. The next prime is 13217410001. The reversal of 13217410000 is 1471231.

13217410000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 13217410000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13217410001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 201267 + ... + 258733.

Almost surely, 2^13217410000 is an apocalyptic number.

13217410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13217410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16696292976).

13217410000 is an abundant number, since it is smaller than the sum of its proper divisors (20175175952).

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

13217410000 is an equidigital number, since it uses as much as digits as its factorization.

13217410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57518 (or 57497 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 13217410000 its reverse (1471231), we get a palindrome (13218881231).

The spelling of 13217410000 in words is "thirteen billion, two hundred seventeen million, four hundred ten thousand".