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13201321261 is a prime number
BaseRepresentation
bin11000100101101110…
…00010110100101101
31021002000121121022111
430102313002310231
5204014014240021
610021542044021
7645066244042
oct142267026455
937060547274
1013201321261
115664890067
122685119611
131324ccc4cb
148d33b31c9
15523e6c8e1
hex312dc2d2d

13201321261 has 2 divisors, whose sum is σ = 13201321262. Its totient is φ = 13201321260.

The previous prime is 13201321207. The next prime is 13201321267. The reversal of 13201321261 is 16212310231.

It is a happy number.

13201321261 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., 13171005225 + 30316036 = 114765^2 + 5506^2 .

It is a cyclic number.

It is not a de Polignac number, because 13201321261 - 29 = 13201320749 is a prime.

It is a super-2 number, since 2×132013212612 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13201321267) 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, 6600660630 + 6600660631.

It is an arithmetic number, because the mean of its divisors is an integer number (6600660631).

Almost surely, 213201321261 is an apocalyptic number.

It is an amenable number.

13201321261 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201321261 is an equidigital number, since it uses as much as digits as its factorization.

13201321261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13201321261 its reverse (16212310231), we get a palindrome (29413631492).

The spelling of 13201321261 in words is "thirteen billion, two hundred one million, three hundred twenty-one thousand, two hundred sixty-one".