213404430004313 has 2 divisors, whose sum is σ = 213404430004314. Its totient is φ = 213404430004312.

The previous prime is 213404430004309. The next prime is 213404430004349. The reversal of 213404430004313 is 313400034404312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 156964489931209 + 56439940073104 = 12528547^2 + 7512652^2 .

It is a cyclic number.

It is not a de Polignac number, because 213404430004313 - 2² = 213404430004309 is a prime.

It is a super-2 number, since 2×213404430004313² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213404430004313.

It is not a weakly prime, because it can be changed into another prime (213404450004313) 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, 106702215002156 + 106702215002157.

It is an arithmetic number, because the mean of its divisors is an integer number (106702215002157).

Almost surely, 2^{213404430004313} is an apocalyptic number.

It is an amenable number.

213404430004313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213404430004313 is an equidigital number, since it uses as much as digits as its factorization.

213404430004313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 213404430004313 its reverse (313400034404312), we get a palindrome (526804464408625).

The spelling of 213404430004313 in words is "two hundred thirteen trillion, four hundred four billion, four hundred thirty million, four thousand, three hundred thirteen".