131318414213 has 12 divisors (see below), whose sum is σ = 152816676012. Its totient is φ = 112515520320.

The previous prime is 131318414203. The next prime is 131318414239. The reversal of 131318414213 is 312414813131.

It can be written as a sum of positive squares in 2 ways, for example, as 57148249249 + 74170164964 = 239057^2 + 272342^2 .

It is not a de Polignac number, because 131318414213 - 2⁴ = 131318414197 is a prime.

It is a super-2 number, since 2×131318414213² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131318414213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131318414203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383798 + ... + 640263.

It is an arithmetic number, because the mean of its divisors is an integer number (12734723001).

Almost surely, 2^131318414213 is an apocalyptic number.

It is an amenable number.

131318414213 is a deficient number, since it is larger than the sum of its proper divisors (21498261799).

131318414213 is a wasteful number, since it uses less digits than its factorization.

131318414213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026692 (or 1026685 counting only the distinct ones).

The product of its digits is 6912, while the sum is 32.

The spelling of 131318414213 in words is "one hundred thirty-one billion, three hundred eighteen million, four hundred fourteen thousand, two hundred thirteen".