213412181 has 2 divisors, whose sum is σ = 213412182. Its totient is φ = 213412180.

The previous prime is 213412127. The next prime is 213412183. The reversal of 213412181 is 181214312.

213412181 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., 147233956 + 66178225 = 12134^2 + 8135^2 .

It is a cyclic number.

It is not a de Polignac number, because 213412181 - 2¹⁴ = 213395797 is a prime.

It is a super-2 number, since 2×213412181² = 91089517998353522, which contains 22 as substring.

Together with 213412183, 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 (213412183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106706090 + 106706091.

It is an arithmetic number, because the mean of its divisors is an integer number (106706091).

Almost surely, 2^213412181 is an apocalyptic number.

It is an amenable number.

213412181 is a deficient number, since it is larger than the sum of its proper divisors (1).

213412181 is an equidigital number, since it uses as much as digits as its factorization.

213412181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 23.

The square root of 213412181 is about 14608.6337828012. The cubic root of 213412181 is about 597.5942380377.

Adding to 213412181 its reverse (181214312), we get a palindrome (394626493).

The spelling of 213412181 in words is "two hundred thirteen million, four hundred twelve thousand, one hundred eighty-one".