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123133133213 is a prime number
BaseRepresentation
bin111001010101101001…
…1101000000110011101
3102202211100201021021022
41302223103220012131
54004134040230323
6132322214213525
711616232235366
oct1625323500635
9382740637238
10123133133213
1148247497512
121ba450542a5
13b7c434354c
145d614c6b6d
15330a0964c8
hex1cab4e819d

123133133213 has 2 divisors, whose sum is σ = 123133133214. Its totient is φ = 123133133212.

The previous prime is 123133133209. The next prime is 123133133287. The reversal of 123133133213 is 312331331321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109880979289 + 13252153924 = 331483^2 + 115118^2 .

It is a cyclic number.

It is not a de Polignac number, because 123133133213 - 22 = 123133133209 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123133133813) 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, 61566566606 + 61566566607.

It is an arithmetic number, because the mean of its divisors is an integer number (61566566607).

Almost surely, 2123133133213 is an apocalyptic number.

It is an amenable number.

123133133213 is a deficient number, since it is larger than the sum of its proper divisors (1).

123133133213 is an equidigital number, since it uses as much as digits as its factorization.

123133133213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 26.

Adding to 123133133213 its reverse (312331331321), we get a palindrome (435464464534).

The spelling of 123133133213 in words is "one hundred twenty-three billion, one hundred thirty-three million, one hundred thirty-three thousand, two hundred thirteen".