131414133424213 has 2 divisors, whose sum is σ = 131414133424214. Its totient is φ = 131414133424212.

The previous prime is 131414133424139. The next prime is 131414133424243. The reversal of 131414133424213 is 312424331414131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126159778375569 + 5254355048644 = 11232087^2 + 2292238^2 .

It is a cyclic number.

It is not a de Polignac number, because 131414133424213 - 2⁹ = 131414133423701 is a prime.

It is a super-2 number, since 2×131414133424213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131414133424243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65707066712106 + 65707066712107.

It is an arithmetic number, because the mean of its divisors is an integer number (65707066712107).

Almost surely, 2^{131414133424213} is an apocalyptic number.

It is an amenable number.

131414133424213 is a deficient number, since it is larger than the sum of its proper divisors (1).

131414133424213 is an equidigital number, since it uses as much as digits as its factorization.

131414133424213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 82944, while the sum is 37.

Adding to 131414133424213 its reverse (312424331414131), we get a palindrome (443838464838344).

The spelling of 131414133424213 in words is "one hundred thirty-one trillion, four hundred fourteen billion, one hundred thirty-three million, four hundred twenty-four thousand, two hundred thirteen".