212011011331 has 8 divisors (see below), whose sum is σ = 242304572160. Its totient is φ = 181719018888.

The previous prime is 212011011293. The next prime is 212011011367. The reversal of 212011011331 is 133110110212.

It is a happy number.

212011011331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 212011011331 - 2¹⁵ = 212010978563 is a prime.

It is a super-3 number, since 3×212011011331³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (212011011131) 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, 86551 + ... + 656896.

It is an arithmetic number, because the mean of its divisors is an integer number (30288071520).

Almost surely, 2^212011011331 is an apocalyptic number.

212011011331 is a deficient number, since it is larger than the sum of its proper divisors (30293560829).

212011011331 is an equidigital number, since it uses as much as digits as its factorization.

212011011331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784193.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 212011011331 its reverse (133110110212), we get a palindrome (345121121543).

The spelling of 212011011331 in words is "two hundred twelve billion, eleven million, eleven thousand, three hundred thirty-one".