211131202033 has 32 divisors (see below), whose sum is σ = 227124324000. Its totient is φ = 195886817280.

The previous prime is 211131202001. The next prime is 211131202069. The reversal of 211131202033 is 330202131112.

211131202033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 133885005409 + 77246196624 = 365903^2 + 277932^2 .

It is a cyclic number.

It is not a de Polignac number, because 211131202033 - 2⁵ = 211131202001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211131202033.

It is not an unprimeable number, because it can be changed into a prime (211137202033) 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 31 ways as a sum of consecutive naturals, for example, 28462141 + ... + 28469557.

It is an arithmetic number, because the mean of its divisors is an integer number (7097635125).

Almost surely, 2^211131202033 is an apocalyptic number.

It is an amenable number.

211131202033 is a deficient number, since it is larger than the sum of its proper divisors (15993121967).

211131202033 is a wasteful number, since it uses less digits than its factorization.

211131202033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 211131202033 its reverse (330202131112), we get a palindrome (541333333145).

The spelling of 211131202033 in words is "two hundred eleven billion, one hundred thirty-one million, two hundred two thousand, thirty-three".