13012311013 has 8 divisors (see below), whose sum is σ = 14024603768. Its totient is φ = 12001639104.

The previous prime is 13012310989. The next prime is 13012311017. The reversal of 13012311013 is 31011321031.

13012311013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1546612929 + 11465698084 = 39327^2 + 107078^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13012311013 - 2³³ = 4422376421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13012311017) 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 7 ways as a sum of consecutive naturals, for example, 388506 + ... + 420667.

It is an arithmetic number, because the mean of its divisors is an integer number (1753075471).

Almost surely, 2^13012311013 is an apocalyptic number.

13012311013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13012311013 is a deficient number, since it is larger than the sum of its proper divisors (1012292755).

13012311013 is a wasteful number, since it uses less digits than its factorization.

13012311013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810423.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13012311013 its reverse (31011321031), we get a palindrome (44023632044).

The spelling of 13012311013 in words is "thirteen billion, twelve million, three hundred eleven thousand, thirteen".