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13121202121 is a prime number
BaseRepresentation
bin11000011100001010…
…11010011111001001
31020212102212010111221
430032011122133021
5203333011431441
610010000522041
7643104243406
oct141605323711
936772763457
1013121202121
1156236383a5
122662320321
131311529b31
148c68b92ad
1551bde38d1
hex30e15a7c9

13121202121 has 2 divisors, whose sum is σ = 13121202122. Its totient is φ = 13121202120.

The previous prime is 13121202119. The next prime is 13121202137. The reversal of 13121202121 is 12120212131.

13121202121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (13121202137) can be obtained adding 13121202121 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12148448400 + 972753721 = 110220^2 + 31189^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121202121 - 21 = 13121202119 is a prime.

Together with 13121202119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13121202095 and 13121202104.

It is not a weakly prime, because it can be changed into another prime (13121202151) 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, 6560601060 + 6560601061.

It is an arithmetic number, because the mean of its divisors is an integer number (6560601061).

Almost surely, 213121202121 is an apocalyptic number.

It is an amenable number.

13121202121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121202121 is an equidigital number, since it uses as much as digits as its factorization.

13121202121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 13121202121 its reverse (12120212131), we get a palindrome (25241414252).

The spelling of 13121202121 in words is "thirteen billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty-one".