213112333233209 has 2 divisors, whose sum is σ = 213112333233210. Its totient is φ = 213112333233208.

The previous prime is 213112333233131. The next prime is 213112333233227. The reversal of 213112333233209 is 902332333211312.

213112333233209 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 137943780032809 + 75168553200400 = 11744947^2 + 8669980^2 .

It is a cyclic number.

It is not a de Polignac number, because 213112333233209 - 2¹² = 213112333229113 is a prime.

It is a super-2 number, since 2×213112333233209² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213112333233259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106556166616604 + 106556166616605.

It is an arithmetic number, because the mean of its divisors is an integer number (106556166616605).

Almost surely, 2^{213112333233209} is an apocalyptic number.

It is an amenable number.

213112333233209 is a deficient number, since it is larger than the sum of its proper divisors (1).

213112333233209 is an equidigital number, since it uses as much as digits as its factorization.

213112333233209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104976, while the sum is 38.

The spelling of 213112333233209 in words is "two hundred thirteen trillion, one hundred twelve billion, three hundred thirty-three million, two hundred thirty-three thousand, two hundred nine".