211342013312033 has 8 divisors (see below), whose sum is σ = 216497138457096. Its totient is φ = 206186909209600.

The previous prime is 211342013311999. The next prime is 211342013312083. The reversal of 211342013312033 is 330213310243112.

It can be written as a sum of positive squares in 4 ways, for example, as 10293208139809 + 201048805172224 = 3208303^2 + 14179168^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 211342013312033 - 2¹⁴ = 211342013295649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211342013311987 and 211342013312005.

It is not an unprimeable number, because it can be changed into a prime (211342013312083) 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 in 7 ways as a sum of consecutive naturals, for example, 16118213 + ... + 26124333.

It is an arithmetic number, because the mean of its divisors is an integer number (27062142307137).

Almost surely, 2^{211342013312033} is an apocalyptic number.

It is an amenable number.

211342013312033 is a deficient number, since it is larger than the sum of its proper divisors (5155125145063).

211342013312033 is a wasteful number, since it uses less digits than its factorization.

211342013312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10521315.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 211342013312033 its reverse (330213310243112), we get a palindrome (541555323555145).

The spelling of 211342013312033 in words is "two hundred eleven trillion, three hundred forty-two billion, thirteen million, three hundred twelve thousand, thirty-three".