213122137 has 2 divisors, whose sum is σ = 213122138. Its totient is φ = 213122136.

The previous prime is 213122099. The next prime is 213122201. The reversal of 213122137 is 731221312.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 155650576 + 57471561 = 12476^2 + 7581^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122137 - 2¹⁹ = 212597849 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213122237) 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 as a sum of consecutive naturals, namely, 106561068 + 106561069.

It is an arithmetic number, because the mean of its divisors is an integer number (106561069).

Almost surely, 2^213122137 is an apocalyptic number.

It is an amenable number.

213122137 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122137 is an equidigital number, since it uses as much as digits as its factorization.

213122137 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 213122137 is about 14598.7032643314. The cubic root of 213122137 is about 597.3233893852.

Adding to 213122137 its reverse (731221312), we get a palindrome (944343449).

The spelling of 213122137 in words is "two hundred thirteen million, one hundred twenty-two thousand, one hundred thirty-seven".