213223201103009 has 2 divisors, whose sum is σ = 213223201103010. Its totient is φ = 213223201103008.

The previous prime is 213223201102979. The next prime is 213223201103021. The reversal of 213223201103009 is 900301102322312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159880219140625 + 53342981962384 = 12644375^2 + 7303628^2 .

It is a cyclic number.

It is not a de Polignac number, because 213223201103009 - 2²⁰ = 213223200054433 is a prime.

It is a super-2 number, since 2×213223201103009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213223206103009) 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, 106611600551504 + 106611600551505.

It is an arithmetic number, because the mean of its divisors is an integer number (106611600551505).

Almost surely, 2^{213223201103009} is an apocalyptic number.

It is an amenable number.

213223201103009 is a deficient number, since it is larger than the sum of its proper divisors (1).

213223201103009 is an equidigital number, since it uses as much as digits as its factorization.

213223201103009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 213223201103009 in words is "two hundred thirteen trillion, two hundred twenty-three billion, two hundred one million, one hundred three thousand, nine".