13004242013 has 16 divisors (see below), whose sum is σ = 15023923200. Its totient is φ = 11025596400.

The previous prime is 13004242001. The next prime is 13004242033. The reversal of 13004242013 is 31024240031.

It is not a de Polignac number, because 13004242013 - 2⁶ = 13004241949 is a prime.

It is a super-2 number, since 2×13004242013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004242033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262388 + ... + 307986.

It is an arithmetic number, because the mean of its divisors is an integer number (938995200).

Almost surely, 2^13004242013 is an apocalyptic number.

It is an amenable number.

13004242013 is a deficient number, since it is larger than the sum of its proper divisors (2019681187).

13004242013 is a wasteful number, since it uses less digits than its factorization.

13004242013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46048.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13004242013 its reverse (31024240031), we get a palindrome (44028482044).

The spelling of 13004242013 in words is "thirteen billion, four million, two hundred forty-two thousand, thirteen".