13298403328000 has 720 divisors, whose sum is σ = 39322262214144. Its totient is φ = 4398238924800.

The previous prime is 13298403327977. The next prime is 13298403328009. The reversal of 13298403328000 is 82330489231.

It is a super-2 number, since 2×13298403328000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13298403328009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12056575449 + ... + 12056576551.

Almost surely, 2^{13298403328000} is an apocalyptic number.

13298403328000 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 13298403328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661131107072).

13298403328000 is an abundant number, since it is smaller than the sum of its proper divisors (26023858886144).

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

13298403328000 is an frugal number, since it uses more digits than its factorization.

13298403328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The spelling of 13298403328000 in words is "thirteen trillion, two hundred ninety-eight billion, four hundred three million, three hundred twenty-eight thousand".