212130131137 has 2 divisors, whose sum is σ = 212130131138. Its totient is φ = 212130131136.

The previous prime is 212130131123. The next prime is 212130131141. The reversal of 212130131137 is 731131031212.

212130131137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112789177281 + 99340953856 = 335841^2 + 315184^2 .

It is a cyclic number.

It is not a de Polignac number, because 212130131137 - 2⁷ = 212130131009 is a prime.

It is not a weakly prime, because it can be changed into another prime (212130131197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106065065568 + 106065065569.

It is an arithmetic number, because the mean of its divisors is an integer number (106065065569).

Almost surely, 2^212130131137 is an apocalyptic number.

It is an amenable number.

212130131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

212130131137 is an equidigital number, since it uses as much as digits as its factorization.

212130131137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 212130131137 its reverse (731131031212), we get a palindrome (943261162349).

The spelling of 212130131137 in words is "two hundred twelve billion, one hundred thirty million, one hundred thirty-one thousand, one hundred thirty-seven".