213201137 has 2 divisors, whose sum is σ = 213201138. Its totient is φ = 213201136.

The previous prime is 213201103. The next prime is 213201151. The reversal of 213201137 is 731102312.

213201137 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., 174213601 + 38987536 = 13199^2 + 6244^2 .

It is a cyclic number.

It is not a de Polignac number, because 213201137 - 2⁶ = 213201073 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213200137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106600568 + 106600569.

It is an arithmetic number, because the mean of its divisors is an integer number (106600569).

Almost surely, 2^213201137 is an apocalyptic number.

It is an amenable number.

213201137 is a deficient number, since it is larger than the sum of its proper divisors (1).

213201137 is an equidigital number, since it uses as much as digits as its factorization.

213201137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 213201137 is about 14601.4087334065. The cubic root of 213201137 is about 597.3971854394.

Adding to 213201137 its reverse (731102312), we get a palindrome (944303449).

The spelling of 213201137 in words is "two hundred thirteen million, two hundred one thousand, one hundred thirty-seven".