13014033144 has 64 divisors (see below), whose sum is σ = 38799613440. Its totient is φ = 3556629120.

The previous prime is 13014033083. The next prime is 13014033161. The reversal of 13014033144 is 44133041031.

13014033144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1680147 + ... + 1687874.

It is an arithmetic number, because the mean of its divisors is an integer number (606243960).

Almost surely, 2^13014033144 is an apocalyptic number.

13014033144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13014033144 is an abundant number, since it is smaller than the sum of its proper divisors (25785580296).

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

13014033144 is a wasteful number, since it uses less digits than its factorization.

13014033144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368060 (or 3368056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13014033144 its reverse (44133041031), we get a palindrome (57147074175).

The spelling of 13014033144 in words is "thirteen billion, fourteen million, thirty-three thousand, one hundred forty-four".