213312010181 has 2 divisors, whose sum is σ = 213312010182. Its totient is φ = 213312010180.

The previous prime is 213312010099. The next prime is 213312010183. The reversal of 213312010181 is 181010213312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 185877388225 + 27434621956 = 431135^2 + 165634^2 .

It is a cyclic number.

It is not a de Polignac number, because 213312010181 - 2¹⁸ = 213311748037 is a prime.

It is a super-2 number, since 2×213312010181² (a number of 23 digits) contains 22 as substring.

Together with 213312010183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213312010183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106656005090 + 106656005091.

It is an arithmetic number, because the mean of its divisors is an integer number (106656005091).

Almost surely, 2^213312010181 is an apocalyptic number.

It is an amenable number.

213312010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

213312010181 is an equidigital number, since it uses as much as digits as its factorization.

213312010181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 213312010181 its reverse (181010213312), we get a palindrome (394322223493).

The spelling of 213312010181 in words is "two hundred thirteen billion, three hundred twelve million, ten thousand, one hundred eighty-one".