213122110829 has 2 divisors, whose sum is σ = 213122110830. Its totient is φ = 213122110828.

The previous prime is 213122110793. The next prime is 213122110849. The reversal of 213122110829 is 928011221312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131985436804 + 81136674025 = 363298^2 + 284845^2 .

It is a cyclic number.

It is not a de Polignac number, because 213122110829 - 2¹⁶ = 213122045293 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 213122110795 and 213122110804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213122110849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106561055414 + 106561055415.

It is an arithmetic number, because the mean of its divisors is an integer number (106561055415).

Almost surely, 2^213122110829 is an apocalyptic number.

It is an amenable number.

213122110829 is a deficient number, since it is larger than the sum of its proper divisors (1).

213122110829 is an equidigital number, since it uses as much as digits as its factorization.

213122110829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3456, while the sum is 32.

The spelling of 213122110829 in words is "two hundred thirteen billion, one hundred twenty-two million, one hundred ten thousand, eight hundred twenty-nine".