213002211113 has 2 divisors, whose sum is σ = 213002211114. Its totient is φ = 213002211112.

The previous prime is 213002211101. The next prime is 213002211131. The reversal of 213002211113 is 311112200312.

Together with next prime (213002211131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117760844569 + 95241366544 = 343163^2 + 308612^2 .

It is a cyclic number.

It is not a de Polignac number, because 213002211113 - 2¹⁰ = 213002210089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213002211091 and 213002211100.

It is not a weakly prime, because it can be changed into another prime (213002211313) 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, 106501105556 + 106501105557.

It is an arithmetic number, because the mean of its divisors is an integer number (106501105557).

Almost surely, 2^213002211113 is an apocalyptic number.

It is an amenable number.

213002211113 is a deficient number, since it is larger than the sum of its proper divisors (1).

213002211113 is an equidigital number, since it uses as much as digits as its factorization.

213002211113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 213002211113 its reverse (311112200312), we get a palindrome (524114411425).

The spelling of 213002211113 in words is "two hundred thirteen billion, two million, two hundred eleven thousand, one hundred thirteen".