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12032113213013 is a prime number
BaseRepresentation
bin1010111100010111000111…
…0101010111111001010101
31120121020222122202100110012
42233011301311113321111
53034113231440304023
641331250531410005
72351201660556155
oct257056165277125
946536878670405
1012032113213013
113919877261073
121423aa2453905
1369381481a98a
142d8500952765
1515ceb2321978
hexaf171d57e55

12032113213013 has 2 divisors, whose sum is σ = 12032113213014. Its totient is φ = 12032113213012.

The previous prime is 12032113212997. The next prime is 12032113213027. The reversal of 12032113213013 is 31031231123021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10619112655204 + 1413000557809 = 3258698^2 + 1188697^2 .

It is an emirp because it is prime and its reverse (31031231123021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12032113213013 - 24 = 12032113212997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12032113213013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12032113213613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6016056606506 + 6016056606507.

It is an arithmetic number, because the mean of its divisors is an integer number (6016056606507).

Almost surely, 212032113213013 is an apocalyptic number.

It is an amenable number.

12032113213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12032113213013 is an equidigital number, since it uses as much as digits as its factorization.

12032113213013 is an evil number, because the sum of its binary digits is even.

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

Adding to 12032113213013 its reverse (31031231123021), we get a palindrome (43063344336034).

The spelling of 12032113213013 in words is "twelve trillion, thirty-two billion, one hundred thirteen million, two hundred thirteen thousand, thirteen".