13013230013 has 4 divisors (see below), whose sum is σ = 14872262880. Its totient is φ = 11154197148.

The previous prime is 13013229953. The next prime is 13013230019. The reversal of 13013230013 is 31003231031.

13013230013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13013230013 - 2¹⁶ = 13013164477 is a prime.

It is a super-3 number, since 3×13013230013³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13013229973 and 13013230000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013230019) 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 3 ways as a sum of consecutive naturals, for example, 929516423 + ... + 929516436.

It is an arithmetic number, because the mean of its divisors is an integer number (3718065720).

Almost surely, 2^13013230013 is an apocalyptic number.

It is an amenable number.

13013230013 is a deficient number, since it is larger than the sum of its proper divisors (1859032867).

13013230013 is an equidigital number, since it uses as much as digits as its factorization.

13013230013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859032866.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13013230013 its reverse (31003231031), we get a palindrome (44016461044).

The spelling of 13013230013 in words is "thirteen billion, thirteen million, two hundred thirty thousand, thirteen".