213421214401 has 2 divisors, whose sum is σ = 213421214402. Its totient is φ = 213421214400.

The previous prime is 213421214339. The next prime is 213421214491. The reversal of 213421214401 is 104412124312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 213111489600 + 309724801 = 461640^2 + 17599^2 .

It is a cyclic number.

It is not a de Polignac number, because 213421214401 - 2¹⁹ = 213420690113 is a prime.

It is a super-2 number, since 2×213421214401² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213421214491) 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, 106710607200 + 106710607201.

It is an arithmetic number, because the mean of its divisors is an integer number (106710607201).

Almost surely, 2^213421214401 is an apocalyptic number.

It is an amenable number.

213421214401 is a deficient number, since it is larger than the sum of its proper divisors (1).

213421214401 is an equidigital number, since it uses as much as digits as its factorization.

213421214401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 213421214401 its reverse (104412124312), we get a palindrome (317833338713).

The spelling of 213421214401 in words is "two hundred thirteen billion, four hundred twenty-one million, two hundred fourteen thousand, four hundred one".