13321220011440 has 320 divisors, whose sum is σ = 45515526676992. Its totient is φ = 3196039168000.

The previous prime is 13321220011403. The next prime is 13321220011441. The reversal of 13321220011440 is 4411002212331.

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 13321220011440.

It is not an unprimeable number, because it can be changed into a prime (13321220011441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 708453079 + ... + 708471881.

Almost surely, 2^{13321220011440} is an apocalyptic number.

13321220011440 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 13321220011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22757763338496).

13321220011440 is an abundant number, since it is smaller than the sum of its proper divisors (32194306665552).

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

13321220011440 is a wasteful number, since it uses less digits than its factorization.

13321220011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21588 (or 21582 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13321220011440 its reverse (4411002212331), we get a palindrome (17732222223771).

The spelling of 13321220011440 in words is "thirteen trillion, three hundred twenty-one billion, two hundred twenty million, eleven thousand, four hundred forty".