212133000331 has 16 divisors (see below), whose sum is σ = 243175219200. Its totient is φ = 181275886368.

The previous prime is 212133000319. The next prime is 212133000337. The reversal of 212133000331 is 133000331212.

It is a cyclic number.

It is not a de Polignac number, because 212133000331 - 2⁷ = 212133000203 is a prime.

It is a super-2 number, since 2×212133000331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212133000299 and 212133000308.

It is not an unprimeable number, because it can be changed into a prime (212133000337) 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, 3554766 + ... + 3613948.

It is an arithmetic number, because the mean of its divisors is an integer number (15198451200).

Almost surely, 2^212133000331 is an apocalyptic number.

212133000331 is a deficient number, since it is larger than the sum of its proper divisors (31042218869).

212133000331 is a wasteful number, since it uses less digits than its factorization.

212133000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60738.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 212133000331 its reverse (133000331212), we get a palindrome (345133331543).

The spelling of 212133000331 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred thirty-one", and thus it is an aban number.