213102413 has 2 divisors, whose sum is σ = 213102414. Its totient is φ = 213102412.

The previous prime is 213102397. The next prime is 213102427. The reversal of 213102413 is 314201312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126742564 + 86359849 = 11258^2 + 9293^2 .

It is a cyclic number.

It is not a de Polignac number, because 213102413 - 2⁴ = 213102397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213102391 and 213102400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213102433) 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, 106551206 + 106551207.

It is an arithmetic number, because the mean of its divisors is an integer number (106551207).

Almost surely, 2^213102413 is an apocalyptic number.

It is an amenable number.

213102413 is a deficient number, since it is larger than the sum of its proper divisors (1).

213102413 is an equidigital number, since it uses as much as digits as its factorization.

213102413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 213102413 is about 14598.0277092489. The cubic root of 213102413 is about 597.3049618141.

Adding to 213102413 its reverse (314201312), we get a palindrome (527303725).

The spelling of 213102413 in words is "two hundred thirteen million, one hundred two thousand, four hundred thirteen".