213130409 has 2 divisors, whose sum is σ = 213130410. Its totient is φ = 213130408.

The previous prime is 213130327. The next prime is 213130433. The reversal of 213130409 is 904031312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207504025 + 5626384 = 14405^2 + 2372^2 .

It is a cyclic number.

It is not a de Polignac number, because 213130409 - 2²⁴ = 196353193 is a prime.

It is not a weakly prime, because it can be changed into another prime (213130439) 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, 106565204 + 106565205.

It is an arithmetic number, because the mean of its divisors is an integer number (106565205).

Almost surely, 2^213130409 is an apocalyptic number.

It is an amenable number.

213130409 is a deficient number, since it is larger than the sum of its proper divisors (1).

213130409 is an equidigital number, since it uses as much as digits as its factorization.

213130409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 213130409 is about 14598.9865744167. The cubic root of 213130409 is about 597.3311173407.

The spelling of 213130409 in words is "two hundred thirteen million, one hundred thirty thousand, four hundred nine".