13221542334000 has 1280 divisors, whose sum is σ = 58780261822464. Its totient is φ = 2467418112000.

The previous prime is 13221542333957. The next prime is 13221542334017. The reversal of 13221542334000 is 43324512231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 222192252 + ... + 222251748.

Almost surely, 2^{13221542334000} is an apocalyptic number.

13221542334000 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 13221542334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29390130911232).

13221542334000 is an abundant number, since it is smaller than the sum of its proper divisors (45558719488464).

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

13221542334000 is a wasteful number, since it uses less digits than its factorization.

13221542334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59591 (or 59575 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13221542334000 its reverse (43324512231), we get a palindrome (13264866846231).

The spelling of 13221542334000 in words is "thirteen trillion, two hundred twenty-one billion, five hundred forty-two million, three hundred thirty-four thousand".