213121323010009 has 2 divisors, whose sum is σ = 213121323010010. Its totient is φ = 213121323010008.

The previous prime is 213121323009977. The next prime is 213121323010027. The reversal of 213121323010009 is 900010323121312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151781537601225 + 61339785408784 = 12319965^2 + 7831972^2 .

It is a cyclic number.

It is not a de Polignac number, because 213121323010009 - 2⁵ = 213121323009977 is a prime.

It is not a weakly prime, because it can be changed into another prime (213121323010109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560661505004 + 106560661505005.

It is an arithmetic number, because the mean of its divisors is an integer number (106560661505005).

Almost surely, 2^{213121323010009} is an apocalyptic number.

It is an amenable number.

213121323010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

213121323010009 is an equidigital number, since it uses as much as digits as its factorization.

213121323010009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 213121323010009 in words is "two hundred thirteen trillion, one hundred twenty-one billion, three hundred twenty-three million, ten thousand, nine".