13314130024 has 64 divisors (see below), whose sum is σ = 27751248000. Its totient is φ = 5948515584.

The previous prime is 13314130013. The next prime is 13314130031. The reversal of 13314130024 is 42003141331.

It is a junction number, because it is equal to n+sod(n) for n = 13314129977 and 13314130004.

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 15 ways as a sum of consecutive naturals, for example, 757059 + ... + 774445.

It is an arithmetic number, because the mean of its divisors is an integer number (433613250).

Almost surely, 2^13314130024 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 13314130024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13875624000).

13314130024 is an abundant number, since it is smaller than the sum of its proper divisors (14437117976).

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

13314130024 is a wasteful number, since it uses less digits than its factorization.

13314130024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17642 (or 17638 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13314130024 its reverse (42003141331), we get a palindrome (55317271355).

The spelling of 13314130024 in words is "thirteen billion, three hundred fourteen million, one hundred thirty thousand, twenty-four".