12131020013 has 6 divisors (see below), whose sum is σ = 14111594766. Its totient is φ = 10398017112.

The previous prime is 12131020001. The next prime is 12131020093. The reversal of 12131020013 is 31002013121.

12131020013 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 only one way, i.e., 8136400804 + 3994619209 = 90202^2 + 63203^2 .

It is not a de Polignac number, because 12131020013 - 2²⁶ = 12063911149 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12131020013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131020093) 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 5 ways as a sum of consecutive naturals, for example, 123785870 + ... + 123785967.

It is an arithmetic number, because the mean of its divisors is an integer number (2351932461).

Almost surely, 2^12131020013 is an apocalyptic number.

It is an amenable number.

12131020013 is a deficient number, since it is larger than the sum of its proper divisors (1980574753).

12131020013 is an equidigital number, since it uses as much as digits as its factorization.

12131020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247571851 (or 247571844 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 12131020013 its reverse (31002013121), we get a palindrome (43133033134).

The spelling of 12131020013 in words is "twelve billion, one hundred thirty-one million, twenty thousand, thirteen".