213101414417 has 2 divisors, whose sum is σ = 213101414418. Its totient is φ = 213101414416.

The previous prime is 213101414399. The next prime is 213101414459. The reversal of 213101414417 is 714414101312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109055815696 + 104045598721 = 330236^2 + 322561^2 .

It is a cyclic number.

It is not a de Polignac number, because 213101414417 - 2¹² = 213101410321 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213101414417.

It is not a weakly prime, because it can be changed into another prime (213101414467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106550707208 + 106550707209.

It is an arithmetic number, because the mean of its divisors is an integer number (106550707209).

Almost surely, 2^213101414417 is an apocalyptic number.

It is an amenable number.

213101414417 is a deficient number, since it is larger than the sum of its proper divisors (1).

213101414417 is an equidigital number, since it uses as much as digits as its factorization.

213101414417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

Adding to 213101414417 its reverse (714414101312), we get a palindrome (927515515729).

The spelling of 213101414417 in words is "two hundred thirteen billion, one hundred one million, four hundred fourteen thousand, four hundred seventeen".