13014330144 has 192 divisors, whose sum is σ = 36806918400. Its totient is φ = 4011982848.

The previous prime is 13014330139. The next prime is 13014330151. The reversal of 13014330144 is 44103341031.

13014330144 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 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 31 ways as a sum of consecutive naturals, for example, 36251437 + ... + 36251795.

It is an arithmetic number, because the mean of its divisors is an integer number (191702700).

Almost surely, 2^13014330144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13014330144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18403459200).

13014330144 is an abundant number, since it is smaller than the sum of its proper divisors (23792588256).

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

13014330144 is a wasteful number, since it uses less digits than its factorization.

13014330144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 707 counting only the distinct ones).

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

Adding to 13014330144 its reverse (44103341031), we get a palindrome (57117671175).

The spelling of 13014330144 in words is "thirteen billion, fourteen million, three hundred thirty thousand, one hundred forty-four".