13513022400000 has 480 divisors, whose sum is σ = 45327187936800. Its totient is φ = 3576995840000.

The previous prime is 13513022399957. The next prime is 13513022400001. The reversal of 13513022400000 is 422031531.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 13513022400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13513022400001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657589726 + ... + 657610274.

It is an arithmetic number, because the mean of its divisors is an integer number (94431641535).

Almost surely, 2^{13513022400000} is an apocalyptic number.

13513022400000 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 13513022400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22663593968400).

13513022400000 is an abundant number, since it is smaller than the sum of its proper divisors (31814165536800).

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

13513022400000 is an frugal number, since it uses more digits than its factorization.

13513022400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20732 (or 20696 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 13513022400000 its reverse (422031531), we get a palindrome (13513444431531).

The spelling of 13513022400000 in words is "thirteen trillion, five hundred thirteen billion, twenty-two million, four hundred thousand".