213113101321 has 2 divisors, whose sum is σ = 213113101322. Its totient is φ = 213113101320.

The previous prime is 213113101309. The next prime is 213113101349. The reversal of 213113101321 is 123101311312.

213113101321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201568673296 + 11544428025 = 448964^2 + 107445^2 .

It is a cyclic number.

It is not a de Polignac number, because 213113101321 - 2⁷ = 213113101193 is a prime.

It is not a weakly prime, because it can be changed into another prime (213113108321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106556550660 + 106556550661.

It is an arithmetic number, because the mean of its divisors is an integer number (106556550661).

Almost surely, 2^213113101321 is an apocalyptic number.

It is an amenable number.

213113101321 is a deficient number, since it is larger than the sum of its proper divisors (1).

213113101321 is an equidigital number, since it uses as much as digits as its factorization.

213113101321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 213113101321 its reverse (123101311312), we get a palindrome (336214412633).

The spelling of 213113101321 in words is "two hundred thirteen billion, one hundred thirteen million, one hundred one thousand, three hundred twenty-one".