212331102212133 has 6 divisors (see below), whose sum is σ = 306700480973094. Its totient is φ = 141554068141416.

The previous prime is 212331102212111. The next prime is 212331102212143. The reversal of 212331102212133 is 331212201133212.

212331102212133 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 311 + 0 + 2 + 212 + 133 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208343185073604 + 3987917138529 = 14434098^2 + 1996977^2 .

It is not a de Polignac number, because 212331102212133 - 2⁹ = 212331102211621 is a prime.

It is a super-2 number, since 2×212331102212133² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212331102212097 and 212331102212106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212331102212143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11796172345110 + ... + 11796172345127.

It is an arithmetic number, because the mean of its divisors is an integer number (51116746828849).

Almost surely, 2^{212331102212133} is an apocalyptic number.

It is an amenable number.

212331102212133 is a deficient number, since it is larger than the sum of its proper divisors (94369378760961).

212331102212133 is a wasteful number, since it uses less digits than its factorization.

212331102212133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23592344690243 (or 23592344690240 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 212331102212133 its reverse (331212201133212), we get a palindrome (543543303345345).

The spelling of 212331102212133 in words is "two hundred twelve trillion, three hundred thirty-one billion, one hundred two million, two hundred twelve thousand, one hundred thirty-three".