13114004024 has 64 divisors (see below), whose sum is σ = 28267937280. Its totient is φ = 5645200000.

The previous prime is 13114004011. The next prime is 13114004063. The reversal of 13114004024 is 42040041131.

13114004024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13114003987 and 13114004005.

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, 172349 + ... + 236499.

It is an arithmetic number, because the mean of its divisors is an integer number (441686520).

Almost surely, 2^13114004024 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 13114004024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14133968640).

13114004024 is an abundant number, since it is smaller than the sum of its proper divisors (15153933256).

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

13114004024 is a wasteful number, since it uses less digits than its factorization.

13114004024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64292 (or 64288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13114004024 its reverse (42040041131), we get a palindrome (55154045155).

The spelling of 13114004024 in words is "thirteen billion, one hundred fourteen million, four thousand, twenty-four".