13075344000 has 896 divisors, whose sum is σ = 52175448000. Its totient is φ = 3247257600.

The previous prime is 13075343969. The next prime is 13075344001. The reversal of 13075344000 is 44357031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13075344001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 221615971 + ... + 221616029.

Almost surely, 2^13075344000 is an apocalyptic number.

13075344000 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 13075344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26087724000).

13075344000 is an abundant number, since it is smaller than the sum of its proper divisors (39100104000).

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

13075344000 is an frugal number, since it uses more digits than its factorization.

13075344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 13075344000 in words is "thirteen billion, seventy-five million, three hundred forty-four thousand".