13001344000 has 88 divisors (see below), whose sum is σ = 32435828568. Its totient is φ = 5200486400.

The previous prime is 13001343989. The next prime is 13001344009. The reversal of 13001344000 is 44310031.

It can be written as a sum of positive squares in 4 ways, for example, as 428655616 + 12572688384 = 20704^2 + 112128^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13001344009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77214 + ... + 178786.

It is an arithmetic number, because the mean of its divisors is an integer number (368588961).

Almost surely, 2^13001344000 is an apocalyptic number.

13001344000 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 13001344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16217914284).

13001344000 is an abundant number, since it is smaller than the sum of its proper divisors (19434484568).

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

13001344000 is an equidigital number, since it uses as much as digits as its factorization.

13001344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101608 (or 101580 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13001344000 its reverse (44310031), we get a palindrome (13045654031).

The spelling of 13001344000 in words is "thirteen billion, one million, three hundred forty-four thousand".