13001241504 has 96 divisors (see below), whose sum is σ = 36223951680. Its totient is φ = 4068872192.

The previous prime is 13001241499. The next prime is 13001241523. The reversal of 13001241504 is 40514210031.

13001241504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 674302 + ... + 693314.

It is an arithmetic number, because the mean of its divisors is an integer number (377332830).

Almost surely, 2^13001241504 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 13001241504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111975840).

13001241504 is an abundant number, since it is smaller than the sum of its proper divisors (23222710176).

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

13001241504 is a wasteful number, since it uses less digits than its factorization.

13001241504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19462 (or 19454 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 13001241504 its reverse (40514210031), we get a palindrome (53515451535).

The spelling of 13001241504 in words is "thirteen billion, one million, two hundred forty-one thousand, five hundred four".