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123321301121 is a prime number
BaseRepresentation
bin111001011011010000…
…1011011100010000001
3102210022110210012010002
41302312201123202001
54010030223113441
6132353015245345
711624005523024
oct1626641334201
9383273705102
10123321301121
1148333728887
121ba98079855
13b8243170c5
145d7c4a91bb
15331b864b9b
hex1cb685b881

123321301121 has 2 divisors, whose sum is σ = 123321301122. Its totient is φ = 123321301120.

The previous prime is 123321301093. The next prime is 123321301141. The reversal of 123321301121 is 121103123321.

It is a happy number.

It is an a-pointer prime, because the next prime (123321301141) can be obtained adding 123321301121 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122762640625 + 558660496 = 350375^2 + 23636^2 .

It is an emirp because it is prime and its reverse (121103123321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123321301121 - 210 = 123321300097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123321301093 and 123321301102.

It is not a weakly prime, because it can be changed into another prime (123321301141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61660650560 + 61660650561.

It is an arithmetic number, because the mean of its divisors is an integer number (61660650561).

Almost surely, 2123321301121 is an apocalyptic number.

It is an amenable number.

123321301121 is a deficient number, since it is larger than the sum of its proper divisors (1).

123321301121 is an equidigital number, since it uses as much as digits as its factorization.

123321301121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123321301121 its reverse (121103123321), we get a palindrome (244424424442).

The spelling of 123321301121 in words is "one hundred twenty-three billion, three hundred twenty-one million, three hundred one thousand, one hundred twenty-one".