13310528000 has 640 divisors, whose sum is σ = 43081099776. Its totient is φ = 3981312000.

The previous prime is 13310527991. The next prime is 13310528039. The reversal of 13310528000 is 82501331.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 182335964 + ... + 182336036.

Almost surely, 2^13310528000 is an apocalyptic number.

13310528000 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 13310528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21540549888).

13310528000 is an abundant number, since it is smaller than the sum of its proper divisors (29770571776).

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

13310528000 is an equidigital number, since it uses as much as digits as its factorization.

13310528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 13310528000 in words is "thirteen billion, three hundred ten million, five hundred twenty-eight thousand".