13305234422000 has 160 divisors (see below), whose sum is σ = 32361413647680. Its totient is φ = 5290855142400.

The previous prime is 13305234421991. The next prime is 13305234422057. The reversal of 13305234422000 is 22443250331.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 251219522 + ... + 251272478.

It is an arithmetic number, because the mean of its divisors is an integer number (202258835298).

Almost surely, 2^{13305234422000} is an apocalyptic number.

13305234422000 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 13305234422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16180706823840).

13305234422000 is an abundant number, since it is smaller than the sum of its proper divisors (19056179225680).

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

13305234422000 is a wasteful number, since it uses less digits than its factorization.

13305234422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53716 (or 53700 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 13305234422000 its reverse (22443250331), we get a palindrome (13327677672331).

The spelling of 13305234422000 in words is "thirteen trillion, three hundred five billion, two hundred thirty-four million, four hundred twenty-two thousand".