13003441024 has 96 divisors (see below), whose sum is σ = 30430708560. Its totient is φ = 5421772800.

The previous prime is 13003441019. The next prime is 13003441037. The reversal of 13003441024 is 42014430031.

It is a junction number, because it is equal to n+sod(n) for n = 13003440986 and 13003441004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1221324 + ... + 1231924.

Almost surely, 2^13003441024 is an apocalyptic number.

13003441024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15215354280).

13003441024 is an abundant number, since it is smaller than the sum of its proper divisors (17427267536).

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

13003441024 is an equidigital number, since it uses as much as digits as its factorization.

13003441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10696 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13003441024 its reverse (42014430031), we get a palindrome (55017871055).

The spelling of 13003441024 in words is "thirteen billion, three million, four hundred forty-one thousand, twenty-four".