13331321223040 has 64 divisors (see below), whose sum is σ = 31972666770720. Its totient is φ = 5315382016000.

The previous prime is 13331321223029. The next prime is 13331321223091. The reversal of 13331321223040 is 4032212313331.

13331321223040 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 (64).

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, 33290011 + ... + 33688090.

Almost surely, 2^{13331321223040} is an apocalyptic number.

13331321223040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13331321223040 is an abundant number, since it is smaller than the sum of its proper divisors (18641345547680).

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

13331321223040 is an equidigital number, since it uses as much as digits as its factorization.

13331321223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66978431 (or 66978419 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 13331321223040 its reverse (4032212313331), we get a palindrome (17363533536371).

The spelling of 13331321223040 in words is "thirteen trillion, three hundred thirty-one billion, three hundred twenty-one million, two hundred twenty-three thousand, forty".