211211220133 has 16 divisors (see below), whose sum is σ = 226584604800. Its totient is φ = 196265609280.

The previous prime is 211211220127. The next prime is 211211220173. The reversal of 211211220133 is 331022112112.

211211220133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211211220133 - 2²⁵ = 211177665701 is a prime.

It is a super-2 number, since 2×211211220133² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 211211220133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211220113) 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 15 ways as a sum of consecutive naturals, for example, 3911563 + ... + 3965191.

It is an arithmetic number, because the mean of its divisors is an integer number (14161537800).

Almost surely, 2^211211220133 is an apocalyptic number.

It is an amenable number.

211211220133 is a deficient number, since it is larger than the sum of its proper divisors (15373384667).

211211220133 is a wasteful number, since it uses less digits than its factorization.

211211220133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57612.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 211211220133 its reverse (331022112112), we get a palindrome (542233332245).

The spelling of 211211220133 in words is "two hundred eleven billion, two hundred eleven million, two hundred twenty thousand, one hundred thirty-three".