212133311017 has 2 divisors, whose sum is σ = 212133311018. Its totient is φ = 212133311016.

The previous prime is 212133310999. The next prime is 212133311101. The reversal of 212133311017 is 710113331212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211927646736 + 205664281 = 460356^2 + 14341^2 .

It is a cyclic number.

It is not a de Polignac number, because 212133311017 - 2²³ = 212124922409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212133310982 and 212133311000.

It is not a weakly prime, because it can be changed into another prime (212133311317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066655508 + 106066655509.

It is an arithmetic number, because the mean of its divisors is an integer number (106066655509).

Almost surely, 2^212133311017 is an apocalyptic number.

It is an amenable number.

212133311017 is a deficient number, since it is larger than the sum of its proper divisors (1).

212133311017 is an equidigital number, since it uses as much as digits as its factorization.

212133311017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 212133311017 its reverse (710113331212), we get a palindrome (922246642229).

The spelling of 212133311017 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred eleven thousand, seventeen".