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1321120013 is a prime number
BaseRepresentation
bin100111010111110…
…1011000100001101
310102001220211221212
41032233223010031
510201201320023
6335032104205
744511222563
oct11657530415
93361824855
101321120013
11618813024
1230a535065
13180921125
14c765ba33
157aeb2e78
hex4ebeb10d

1321120013 has 2 divisors, whose sum is σ = 1321120014. Its totient is φ = 1321120012.

The previous prime is 1321120001. The next prime is 1321120043. The reversal of 1321120013 is 3100211231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1091839849 + 229280164 = 33043^2 + 15142^2 .

It is a cyclic number.

It is not a de Polignac number, because 1321120013 - 226 = 1254011149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1321120013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1321120043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 660560006 + 660560007.

It is an arithmetic number, because the mean of its divisors is an integer number (660560007).

Almost surely, 21321120013 is an apocalyptic number.

It is an amenable number.

1321120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1321120013 is an equidigital number, since it uses as much as digits as its factorization.

1321120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1321120013 is about 36347.2146525700. The cubic root of 1321120013 is about 1097.2714780628.

Adding to 1321120013 its reverse (3100211231), we get a palindrome (4421331244).

The spelling of 1321120013 in words is "one billion, three hundred twenty-one million, one hundred twenty thousand, thirteen".