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13322001013 is a prime number
BaseRepresentation
bin11000110100000110…
…11001101001110101
31021101102200202210221
430122003121221311
5204240413013023
610041532414341
7651063066046
oct143203315165
937342622727
1013322001013
115716a165a2
1226b96173b1
131344003949
149054288cd
1552e85985d
hex31a0d9a75

13322001013 has 2 divisors, whose sum is σ = 13322001014. Its totient is φ = 13322001012.

The previous prime is 13322000957. The next prime is 13322001041. The reversal of 13322001013 is 31010022331.

13322001013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12017202129 + 1304798884 = 109623^2 + 36122^2 .

It is a cyclic number.

It is not a de Polignac number, because 13322001013 - 213 = 13321992821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13322001053) 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, 6661000506 + 6661000507.

It is an arithmetic number, because the mean of its divisors is an integer number (6661000507).

Almost surely, 213322001013 is an apocalyptic number.

It is an amenable number.

13322001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13322001013 is an equidigital number, since it uses as much as digits as its factorization.

13322001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13322001013 its reverse (31010022331), we get a palindrome (44332023344).

The spelling of 13322001013 in words is "thirteen billion, three hundred twenty-two million, one thousand, thirteen".