211003320312033 has 16 divisors (see below), whose sum is σ = 303039831699456. Its totient is φ = 130212427680720.

The previous prime is 211003320312019. The next prime is 211003320312041. The reversal of 211003320312033 is 330213023300112.

It is not a de Polignac number, because 211003320312033 - 2¹⁶ = 211003320246497 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 211003320311994 and 211003320312012.

It is not an unprimeable number, because it can be changed into a prime (211003320312133) 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 in 15 ways as a sum of consecutive naturals, for example, 49322887135 + ... + 49322891412.

It is an arithmetic number, because the mean of its divisors is an integer number (18939989481216).

Almost surely, 2^{211003320312033} is an apocalyptic number.

211003320312033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211003320312033 is a deficient number, since it is larger than the sum of its proper divisors (92036511387423).

211003320312033 is a wasteful number, since it uses less digits than its factorization.

211003320312033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98645778604.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 211003320312033 its reverse (330213023300112), we get a palindrome (541216343612145).

The spelling of 211003320312033 in words is "two hundred eleven trillion, three billion, three hundred twenty million, three hundred twelve thousand, thirty-three".