211332330330137 has 2 divisors, whose sum is σ = 211332330330138. Its totient is φ = 211332330330136.

The previous prime is 211332330330073. The next prime is 211332330330181. The reversal of 211332330330137 is 731033033233112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203628019689241 + 7704310640896 = 14269829^2 + 2775664^2 .

It is a cyclic number.

It is not a de Polignac number, because 211332330330137 - 2⁶ = 211332330330073 is a prime.

It is a super-2 number, since 2×211332330330137² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211332330330097 and 211332330330106.

It is not a weakly prime, because it can be changed into another prime (211332330330337) 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, 105666165165068 + 105666165165069.

It is an arithmetic number, because the mean of its divisors is an integer number (105666165165069).

Almost surely, 2^{211332330330137} is an apocalyptic number.

It is an amenable number.

211332330330137 is a deficient number, since it is larger than the sum of its proper divisors (1).

211332330330137 is an equidigital number, since it uses as much as digits as its factorization.

211332330330137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 61236, while the sum is 35.

Adding to 211332330330137 its reverse (731033033233112), we get a palindrome (942365363563249).

The spelling of 211332330330137 in words is "two hundred eleven trillion, three hundred thirty-two billion, three hundred thirty million, three hundred thirty thousand, one hundred thirty-seven".