213121213323041 has 2 divisors, whose sum is σ = 213121213323042. Its totient is φ = 213121213323040.

The previous prime is 213121213323037. The next prime is 213121213323047. The reversal of 213121213323041 is 140323312121312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 207946061512225 + 5175151810816 = 14420335^2 + 2274896^2 .

It is a cyclic number.

It is not a de Polignac number, because 213121213323041 - 2² = 213121213323037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213121213322995 and 213121213323013.

It is not a weakly prime, because it can be changed into another prime (213121213323047) 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, 106560606661520 + 106560606661521.

It is an arithmetic number, because the mean of its divisors is an integer number (106560606661521).

Almost surely, 2^{213121213323041} is an apocalyptic number.

It is an amenable number.

213121213323041 is a deficient number, since it is larger than the sum of its proper divisors (1).

213121213323041 is an equidigital number, since it uses as much as digits as its factorization.

213121213323041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 213121213323041 its reverse (140323312121312), we get a palindrome (353444525444353).

The spelling of 213121213323041 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred twenty-three thousand, forty-one".