13312453440000 has 800 divisors, whose sum is σ = 52065644710464. Its totient is φ = 2978979840000.

The previous prime is 13312453439927. The next prime is 13312453440001. The reversal of 13312453440000 is 4435421331.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 13312453440000.

It is not an unprimeable number, because it can be changed into a prime (13312453440001) by changing a digit.

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, 137231514 + ... + 137328486.

Almost surely, 2^{13312453440000} is an apocalyptic number.

13312453440000 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 13312453440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26032822355232).

13312453440000 is an abundant number, since it is smaller than the sum of its proper divisors (38753191270464).

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

13312453440000 is an equidigital number, since it uses as much as digits as its factorization.

13312453440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97038 (or 97007 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13312453440000 its reverse (4435421331), we get a palindrome (13316888861331).

The spelling of 13312453440000 in words is "thirteen trillion, three hundred twelve billion, four hundred fifty-three million, four hundred forty thousand".