213122031201281 has 2 divisors, whose sum is σ = 213122031201282. Its totient is φ = 213122031201280.

The previous prime is 213122031201197. The next prime is 213122031201337. The reversal of 213122031201281 is 182102130221312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180177358536256 + 32944672665025 = 13423016^2 + 5739745^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122031201281 - 2³⁸ = 212847153294337 is a prime.

It is a super-2 number, since 2×213122031201281² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213122031201481) 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 as a sum of consecutive naturals, namely, 106561015600640 + 106561015600641.

It is an arithmetic number, because the mean of its divisors is an integer number (106561015600641).

Almost surely, 2^{213122031201281} is an apocalyptic number.

It is an amenable number.

213122031201281 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122031201281 is an equidigital number, since it uses as much as digits as its factorization.

213122031201281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

Adding to 213122031201281 its reverse (182102130221312), we get a palindrome (395224161422593).

It can be divided in two parts, 213122031 and 201281, that added together give a palindrome (213323312).

The spelling of 213122031201281 in words is "two hundred thirteen trillion, one hundred twenty-two billion, thirty-one million, two hundred one thousand, two hundred eighty-one".