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12123132231013 is a prime number
BaseRepresentation
bin1011000001101010001011…
…1111010111110101100101
31120220221220221002112110221
42300122202333113311211
53042111133322343023
641441142353044341
72360603342502526
oct260324277276545
946827827075427
1012123132231013
1139544341054a1
1214396645566b1
1369c28b7a858b
142dca96d0c84d
1516053cd8985d
hexb06a2fd7d65

12123132231013 has 2 divisors, whose sum is σ = 12123132231014. Its totient is φ = 12123132231012.

The previous prime is 12123132230981. The next prime is 12123132231017. The reversal of 12123132231013 is 31013223132121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10397161638369 + 1725970592644 = 3224463^2 + 1313762^2 .

It is a cyclic number.

It is not a de Polignac number, because 12123132231013 - 25 = 12123132230981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12123132231017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6061566115506 + 6061566115507.

It is an arithmetic number, because the mean of its divisors is an integer number (6061566115507).

Almost surely, 212123132231013 is an apocalyptic number.

It is an amenable number.

12123132231013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12123132231013 is an equidigital number, since it uses as much as digits as its factorization.

12123132231013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 12123132231013 its reverse (31013223132121), we get a palindrome (43136355363134).

The spelling of 12123132231013 in words is "twelve trillion, one hundred twenty-three billion, one hundred thirty-two million, two hundred thirty-one thousand, thirteen".