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132123122213 is a prime number
BaseRepresentation
bin111101100001100100…
…1101101101000100101
3110122000212222000202212
41323003021231220211
54131042004402323
6140410241013205
712355064003015
oct1730311555045
9418025860685
10132123122213
1151040070295
1221733924205
13c5c79c9c74
146575453c45
153684446b78
hex1ec326da25

132123122213 has 2 divisors, whose sum is σ = 132123122214. Its totient is φ = 132123122212.

The previous prime is 132123122189. The next prime is 132123122237. The reversal of 132123122213 is 312221321231.

It is a balanced prime because it is at equal distance from previous prime (132123122189) and next prime (132123122237).

It can be written as a sum of positive squares in only one way, i.e., 108647366689 + 23475755524 = 329617^2 + 153218^2 .

It is a cyclic number.

It is not a de Polignac number, because 132123122213 - 26 = 132123122149 is a prime.

It is a super-2 number, since 2×1321231222132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (132123122513) 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, 66061561106 + 66061561107.

It is an arithmetic number, because the mean of its divisors is an integer number (66061561107).

Almost surely, 2132123122213 is an apocalyptic number.

It is an amenable number.

132123122213 is a deficient number, since it is larger than the sum of its proper divisors (1).

132123122213 is an equidigital number, since it uses as much as digits as its factorization.

132123122213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 23.

Adding to 132123122213 its reverse (312221321231), we get a palindrome (444344443444).

The spelling of 132123122213 in words is "one hundred thirty-two billion, one hundred twenty-three million, one hundred twenty-two thousand, two hundred thirteen".