13220104620324 has 240 divisors, whose sum is σ = 36838924093440. Its totient is φ = 3688490836800.

The previous prime is 13220104620313. The next prime is 13220104620347. The reversal of 13220104620324 is 42302640102231.

It is a junction number, because it is equal to n+sod(n) for n = 13220104620291 and 13220104620300.

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 79 ways as a sum of consecutive naturals, for example, 256660357 + ... + 256711859.

It is an arithmetic number, because the mean of its divisors is an integer number (153495517056).

Almost surely, 2^{13220104620324} is an apocalyptic number.

13220104620324 is a gapful number since it is divisible by the number (14) 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 13220104620324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18419462046720).

13220104620324 is an abundant number, since it is smaller than the sum of its proper divisors (23618819473116).

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

13220104620324 is a wasteful number, since it uses less digits than its factorization.

13220104620324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51748 (or 51725 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13220104620324 its reverse (42302640102231), we get a palindrome (55522744722555).

The spelling of 13220104620324 in words is "thirteen trillion, two hundred twenty billion, one hundred four million, six hundred twenty thousand, three hundred twenty-four".