212133127 has 2 divisors, whose sum is σ = 212133128. Its totient is φ = 212133126.

The previous prime is 212133107. The next prime is 212133149. The reversal of 212133127 is 721331212.

It is a happy number.

It is an a-pointer prime, because the next prime (212133149) can be obtained adding 212133127 to its sum of digits (22).

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-212133127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212133098 and 212133107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212133107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106066563 + 106066564.

It is an arithmetic number, because the mean of its divisors is an integer number (106066564).

Almost surely, 2^212133127 is an apocalyptic number.

212133127 is a deficient number, since it is larger than the sum of its proper divisors (1).

212133127 is an equidigital number, since it uses as much as digits as its factorization.

212133127 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 22.

The square root of 212133127 is about 14564.7906610428. The cubic root of 212133127 is about 596.3979810759.

Adding to 212133127 its reverse (721331212), we get a palindrome (933464339).

The spelling of 212133127 in words is "two hundred twelve million, one hundred thirty-three thousand, one hundred twenty-seven".