12001313013 has 16 divisors (see below), whose sum is σ = 16946003520. Its totient is φ = 7528914176.

The previous prime is 12001312927. The next prime is 12001313021. The reversal of 12001313013 is 31031310021.

12001313013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12001313013 - 2⁹ = 12001312501 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12001312983 and 12001313001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001313033) 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, 330943 + ... + 365411.

It is an arithmetic number, because the mean of its divisors is an integer number (1059125220).

Almost surely, 2^12001313013 is an apocalyptic number.

It is an amenable number.

12001313013 is a deficient number, since it is larger than the sum of its proper divisors (4944690507).

12001313013 is a wasteful number, since it uses less digits than its factorization.

12001313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41316.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 12001313013 its reverse (31031310021), we get a palindrome (43032623034).

The spelling of 12001313013 in words is "twelve billion, one million, three hundred thirteen thousand, thirteen".