213042211000337 has 2 divisors, whose sum is σ = 213042211000338. Its totient is φ = 213042211000336.

The previous prime is 213042211000327. The next prime is 213042211000351. The reversal of 213042211000337 is 733000112240312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208957895301376 + 4084315698961 = 14455376^2 + 2020969^2 .

It is a cyclic number.

It is not a de Polignac number, because 213042211000337 - 2⁶ = 213042211000273 is a prime.

It is a super-2 number, since 2×213042211000337² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213042211000327) 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, 106521105500168 + 106521105500169.

It is an arithmetic number, because the mean of its divisors is an integer number (106521105500169).

Almost surely, 2^{213042211000337} is an apocalyptic number.

It is an amenable number.

213042211000337 is a deficient number, since it is larger than the sum of its proper divisors (1).

213042211000337 is an equidigital number, since it uses as much as digits as its factorization.

213042211000337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

Adding to 213042211000337 its reverse (733000112240312), we get a palindrome (946042323240649).

The spelling of 213042211000337 in words is "two hundred thirteen trillion, forty-two billion, two hundred eleven million, three hundred thirty-seven", and thus it is an aban number.