13328229376000 has 1120 divisors, whose sum is σ = 42148169256960. Its totient is φ = 4121542656000.

The previous prime is 13328229375973. The next prime is 13328229376097. The reversal of 13328229376000 is 67392282331.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104946687937 + ... + 104946688063.

Almost surely, 2^{13328229376000} is an apocalyptic number.

13328229376000 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 13328229376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21074084628480).

13328229376000 is an abundant number, since it is smaller than the sum of its proper divisors (28819939880960).

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

13328229376000 is an frugal number, since it uses more digits than its factorization.

13328229376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 13328229376000 in words is "thirteen trillion, three hundred twenty-eight billion, two hundred twenty-nine million, three hundred seventy-six thousand".