211211133231 has 16 divisors (see below), whose sum is σ = 323041996800. Its totient is φ = 120243403488.

The previous prime is 211211133143. The next prime is 211211133233. The reversal of 211211133231 is 132331112112.

It is not a de Polignac number, because 211211133231 - 2¹⁰ = 211211132207 is a prime.

It is a super-2 number, since 2×211211133231² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 211211133198 and 211211133207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211211133233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18688911 + ... + 18700208.

It is an arithmetic number, because the mean of its divisors is an integer number (20190124800).

Almost surely, 2^211211133231 is an apocalyptic number.

211211133231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211211133231 is a deficient number, since it is larger than the sum of its proper divisors (111830863569).

211211133231 is a wasteful number, since it uses less digits than its factorization.

211211133231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37389398.

The product of its digits is 216, while the sum is 21.

Adding to 211211133231 its reverse (132331112112), we get a palindrome (343542245343).

The spelling of 211211133231 in words is "two hundred eleven billion, two hundred eleven million, one hundred thirty-three thousand, two hundred thirty-one".