13320221220240 has 640 divisors, whose sum is σ = 48604989081600. Its totient is φ = 2981511659520.

The previous prime is 13320221220233. The next prime is 13320221220253. The reversal of 13320221220240 is 4202212202331.

13320221220240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13320221220240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13320221220240.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1347786339 + ... + 1347796221.

It is an arithmetic number, because the mean of its divisors is an integer number (75945295440).

Almost surely, 2^{13320221220240} is an apocalyptic number.

13320221220240 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 13320221220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24302494540800).

13320221220240 is an abundant number, since it is smaller than the sum of its proper divisors (35284767861360).

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

13320221220240 is a wasteful number, since it uses less digits than its factorization.

13320221220240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10495 (or 10489 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13320221220240 its reverse (4202212202331), we get a palindrome (17522433422571).

The spelling of 13320221220240 in words is "thirteen trillion, three hundred twenty billion, two hundred twenty-one million, two hundred twenty thousand, two hundred forty".