211132011133 has 8 divisors (see below), whose sum is σ = 218493012600. Its totient is φ = 203776382208.

The previous prime is 211132011131. The next prime is 211132011151. The reversal of 211132011133 is 331110231112.

211132011133 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 4 ways, for example, as 54444288889 + 156687722244 = 233333^2 + 395838^2 .

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 211132011133 - 2¹ = 211132011131 is a prime.

It is a super-2 number, since 2×211132011133² (a number of 23 digits) contains 22 as substring.

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 211132011133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211132011131) 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, 1263088 + ... + 1420441.

It is an arithmetic number, because the mean of its divisors is an integer number (27311626575).

Almost surely, 2^211132011133 is an apocalyptic number.

It is an amenable number.

211132011133 is a deficient number, since it is larger than the sum of its proper divisors (7361001467).

211132011133 is a wasteful number, since it uses less digits than its factorization.

211132011133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686271.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 211132011133 its reverse (331110231112), we get a palindrome (542242242245).

The spelling of 211132011133 in words is "two hundred eleven billion, one hundred thirty-two million, eleven thousand, one hundred thirty-three".