12013131013 has 16 divisors (see below), whose sum is σ = 13415295600. Its totient is φ = 10681090560.

The previous prime is 12013130981. The next prime is 12013131037. The reversal of 12013131013 is 31013131021.

It can be written as a sum of positive squares in 8 ways, for example, as 375468129 + 11637662884 = 19377^2 + 107878^2 .

It is a cyclic number.

It is not a de Polignac number, because 12013131013 - 2⁵ = 12013130981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013131113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120873 + ... + 196561.

It is an arithmetic number, because the mean of its divisors is an integer number (838455975).

Almost surely, 2^12013131013 is an apocalyptic number.

12013131013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12013131013 is a deficient number, since it is larger than the sum of its proper divisors (1402164587).

12013131013 is a wasteful number, since it uses less digits than its factorization.

12013131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76152.

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

Adding to 12013131013 its reverse (31013131021), we get a palindrome (43026262034).

The spelling of 12013131013 in words is "twelve billion, thirteen million, one hundred thirty-one thousand, thirteen".