13003214210432 has 128 divisors (see below), whose sum is σ = 27242973388800. Its totient is φ = 6170361640960.

The previous prime is 13003214210381. The next prime is 13003214210513. The reversal of 13003214210432 is 23401241230031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218706533 + ... + 218765979.

It is an arithmetic number, because the mean of its divisors is an integer number (212835729600).

Almost surely, 2^{13003214210432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003214210432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13621486694400).

13003214210432 is an abundant number, since it is smaller than the sum of its proper divisors (14239759178368).

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

13003214210432 is a wasteful number, since it uses less digits than its factorization.

13003214210432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60064 (or 60052 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13003214210432 its reverse (23401241230031), we get a palindrome (36404455440463).

The spelling of 13003214210432 in words is "thirteen trillion, three billion, two hundred fourteen million, two hundred ten thousand, four hundred thirty-two".