213123131281 has 2 divisors, whose sum is σ = 213123131282. Its totient is φ = 213123131280.

The previous prime is 213123131279. The next prime is 213123131327. The reversal of 213123131281 is 182131321312.

213123131281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 203589561681 + 9533569600 = 451209^2 + 97640^2 .

It is a cyclic number.

It is not a de Polignac number, because 213123131281 - 2¹ = 213123131279 is a prime.

It is a super-2 number, since 2×213123131281² (a number of 23 digits) contains 22 as substring.

Together with 213123131279, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (213123111281) 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, 106561565640 + 106561565641.

It is an arithmetic number, because the mean of its divisors is an integer number (106561565641).

Almost surely, 2^213123131281 is an apocalyptic number.

It is an amenable number.

213123131281 is a deficient number, since it is larger than the sum of its proper divisors (1).

213123131281 is an equidigital number, since it uses as much as digits as its factorization.

213123131281 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 28.

Adding to 213123131281 its reverse (182131321312), we get a palindrome (395254452593).

The spelling of 213123131281 in words is "two hundred thirteen billion, one hundred twenty-three million, one hundred thirty-one thousand, two hundred eighty-one".