213313000181 has 2 divisors, whose sum is σ = 213313000182. Its totient is φ = 213313000180.

The previous prime is 213313000139. The next prime is 213313000207. The reversal of 213313000181 is 181000313312.

213313000181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165771122500 + 47541877681 = 407150^2 + 218041^2 .

It is a cyclic number.

It is not a de Polignac number, because 213313000181 - 2¹⁴ = 213312983797 is a prime.

It is a super-2 number, since 2×213313000181² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213313000781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106656500090 + 106656500091.

It is an arithmetic number, because the mean of its divisors is an integer number (106656500091).

Almost surely, 2^213313000181 is an apocalyptic number.

It is an amenable number.

213313000181 is a deficient number, since it is larger than the sum of its proper divisors (1).

213313000181 is an equidigital number, since it uses as much as digits as its factorization.

213313000181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 213313000181 its reverse (181000313312), we get a palindrome (394313313493).

The spelling of 213313000181 in words is "two hundred thirteen billion, three hundred thirteen million, one hundred eighty-one", and thus it is an aban number.