211331103233137 has 2 divisors, whose sum is σ = 211331103233138. Its totient is φ = 211331103233136.

The previous prime is 211331103233111. The next prime is 211331103233153. The reversal of 211331103233137 is 731332301133112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 172661597285776 + 38669505947361 = 13140076^2 + 6218481^2 .

It is a cyclic number.

It is not a de Polignac number, because 211331103233137 - 2³⁵ = 211296743494769 is a prime.

It is not a weakly prime, because it can be changed into another prime (211331103233167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105665551616568 + 105665551616569.

It is an arithmetic number, because the mean of its divisors is an integer number (105665551616569).

Almost surely, 2^{211331103233137} is an apocalyptic number.

It is an amenable number.

211331103233137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211331103233137 is an equidigital number, since it uses as much as digits as its factorization.

211331103233137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 34.

Adding to 211331103233137 its reverse (731332301133112), we get a palindrome (942663404366249).

The spelling of 211331103233137 in words is "two hundred eleven trillion, three hundred thirty-one billion, one hundred three million, two hundred thirty-three thousand, one hundred thirty-seven".