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211323131332133 is a prime number
BaseRepresentation
bin110000000011001010000000…
…001011010000011000100101
31000201020021221100220012000212
4300003022000023100120211
5210144304233110112013
62025240301210545205
762340410123512562
oct6003120013203045
91021207840805025
10211323131332133
11613747004aa777
121b84ba09138205
1390bb8bb8648c2
143a28146415869
151966eeda0a6a8
hexc032802d0625

211323131332133 has 2 divisors, whose sum is σ = 211323131332134. Its totient is φ = 211323131332132.

The previous prime is 211323131332099. The next prime is 211323131332163. The reversal of 211323131332133 is 331233131323112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106085426849284 + 105237704482849 = 10299778^2 + 10258543^2 .

It is a cyclic number.

It is not a de Polignac number, because 211323131332133 - 226 = 211323064223269 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 211323131332133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211323131332163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105661565666066 + 105661565666067.

It is an arithmetic number, because the mean of its divisors is an integer number (105661565666067).

Almost surely, 2211323131332133 is an apocalyptic number.

It is an amenable number.

211323131332133 is a deficient number, since it is larger than the sum of its proper divisors (1).

211323131332133 is an equidigital number, since it uses as much as digits as its factorization.

211323131332133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17496, while the sum is 32.

Adding to 211323131332133 its reverse (331233131323112), we get a palindrome (542556262655245).

The spelling of 211323131332133 in words is "two hundred eleven trillion, three hundred twenty-three billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred thirty-three".