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123231133121 is a prime number
BaseRepresentation
bin111001011000100100…
…1011101110111000001
3102210002012010011212112
41302301021131313001
54004334132224441
6132340034505105
711621532230405
oct1626111356701
9383065104775
10123231133121
1148297842278
121ba71a35195
13b80b736865
145d70517105
1533139a34eb
hex1cb125ddc1

123231133121 has 2 divisors, whose sum is σ = 123231133122. Its totient is φ = 123231133120.

The previous prime is 123231133099. The next prime is 123231133187. The reversal of 123231133121 is 121331132321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100844988721 + 22386144400 = 317561^2 + 149620^2 .

It is a cyclic number.

It is not a de Polignac number, because 123231133121 - 26 = 123231133057 is a prime.

It is not a weakly prime, because it can be changed into another prime (123231433121) 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, 61615566560 + 61615566561.

It is an arithmetic number, because the mean of its divisors is an integer number (61615566561).

Almost surely, 2123231133121 is an apocalyptic number.

It is an amenable number.

123231133121 is a deficient number, since it is larger than the sum of its proper divisors (1).

123231133121 is an equidigital number, since it uses as much as digits as its factorization.

123231133121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 23.

Adding to 123231133121 its reverse (121331132321), we get a palindrome (244562265442).

The spelling of 123231133121 in words is "one hundred twenty-three billion, two hundred thirty-one million, one hundred thirty-three thousand, one hundred twenty-one".