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12133210013 is a prime number
BaseRepresentation
bin10110100110011001…
…00001011110011101
31011022120202221010122
423103030201132131
5144322100210023
65323544444325
7606446404061
oct132314413635
934276687118
1012133210013
1151669762a1
1224274796a5
1311b4935412
148315b5aa1
154b02d52c8
hex2d332179d

12133210013 has 2 divisors, whose sum is σ = 12133210014. Its totient is φ = 12133210012.

The previous prime is 12133209971. The next prime is 12133210039. The reversal of 12133210013 is 31001233121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12105940729 + 27269284 = 110027^2 + 5222^2 .

It is a cyclic number.

It is not a de Polignac number, because 12133210013 - 226 = 12066101149 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12133209973 and 12133210000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12133210613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6066605006 + 6066605007.

It is an arithmetic number, because the mean of its divisors is an integer number (6066605007).

Almost surely, 212133210013 is an apocalyptic number.

It is an amenable number.

12133210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12133210013 is an equidigital number, since it uses as much as digits as its factorization.

12133210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 12133210013 its reverse (31001233121), we get a palindrome (43134443134).

The spelling of 12133210013 in words is "twelve billion, one hundred thirty-three million, two hundred ten thousand, thirteen".