13003201344 has 280 divisors, whose sum is σ = 40831767968. Its totient is φ = 3651056640.

The previous prime is 13003201303. The next prime is 13003201369. The reversal of 13003201344 is 44310230031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13003201344.

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 39 ways as a sum of consecutive naturals, for example, 30886254 + ... + 30886674.

Almost surely, 2^13003201344 is an apocalyptic number.

13003201344 is a gapful number since it is divisible by the number (14) 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 13003201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20415883984).

13003201344 is an abundant number, since it is smaller than the sum of its proper divisors (27828566624).

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

13003201344 is an frugal number, since it uses more digits than its factorization.

13003201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13003201344 its reverse (44310230031), we get a palindrome (57313431375).

The spelling of 13003201344 in words is "thirteen billion, three million, two hundred one thousand, three hundred forty-four".