213142121 has 2 divisors, whose sum is σ = 213142122. Its totient is φ = 213142120.

The previous prime is 213142103. The next prime is 213142129. The reversal of 213142121 is 121241312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129163225 + 83978896 = 11365^2 + 9164^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213142121 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213142121.

It is not a weakly prime, because it can be changed into another prime (213142129) 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, 106571060 + 106571061.

It is an arithmetic number, because the mean of its divisors is an integer number (106571061).

Almost surely, 2^213142121 is an apocalyptic number.

It is an amenable number.

213142121 is a deficient number, since it is larger than the sum of its proper divisors (1).

213142121 is an equidigital number, since it uses as much as digits as its factorization.

213142121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 96, while the sum is 17.

The square root of 213142121 is about 14599.3876926397. The cubic root of 213142121 is about 597.3420587074.

Adding to 213142121 its reverse (121241312), we get a palindrome (334383433).

The spelling of 213142121 in words is "two hundred thirteen million, one hundred forty-two thousand, one hundred twenty-one".