13005121323 has 16 divisors (see below), whose sum is σ = 17723520000. Its totient is φ = 8478702336.

The previous prime is 13005121313. The next prime is 13005121361. The reversal of 13005121323 is 32312150031.

13005121323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13005121323 - 2²⁴ = 12988344107 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13005121323.

It is not an unprimeable number, because it can be changed into a prime (13005121303) by changing a digit.

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, 139186 + ... + 213032.

It is an arithmetic number, because the mean of its divisors is an integer number (1107720000).

Almost surely, 2^13005121323 is an apocalyptic number.

13005121323 is a deficient number, since it is larger than the sum of its proper divisors (4718398677).

13005121323 is a wasteful number, since it uses less digits than its factorization.

13005121323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75146.

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 13005121323 its reverse (32312150031), we get a palindrome (45317271354).

The spelling of 13005121323 in words is "thirteen billion, five million, one hundred twenty-one thousand, three hundred twenty-three".