211311312330033 has 12 divisors (see below), whose sum is σ = 307171575038068. Its totient is φ = 139976920268640.

The previous prime is 211311312329947. The next prime is 211311312330059. The reversal of 211311312330033 is 330033213113112.

211311312330033 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 11 + 312 + 3 + 300 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 125530243424784 + 85781068905249 = 11204028^2 + 9261807^2 .

It is not a de Polignac number, because 211311312330033 - 2²² = 211311308135729 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211311312329979 and 211311312330006.

It is not an unprimeable number, because it can be changed into a prime (211311312330533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74773994458 + ... + 74773997283.

Almost surely, 2^{211311312330033} is an apocalyptic number.

It is an amenable number.

211311312330033 is a deficient number, since it is larger than the sum of its proper divisors (95860262708035).

211311312330033 is a wasteful number, since it uses less digits than its factorization.

211311312330033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149547991904 (or 149547991901 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 211311312330033 its reverse (330033213113112), we get a palindrome (541344525443145).

The spelling of 211311312330033 in words is "two hundred eleven trillion, three hundred eleven billion, three hundred twelve million, three hundred thirty thousand, thirty-three".