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13121333221 is a prime number
BaseRepresentation
bin11000011100001011…
…11010011111100101
31020212110002210100111
430032011322133211
5203333030130341
610010003413021
7643105330543
oct141605723745
936773083314
1013121333221
115623717947
122662384171
1313115746c9
148c6910d93
1551be1c681
hex30e17a7e5

13121333221 has 2 divisors, whose sum is σ = 13121333222. Its totient is φ = 13121333220.

The previous prime is 13121333207. The next prime is 13121333233. The reversal of 13121333221 is 12233312131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8374812196 + 4746521025 = 91514^2 + 68895^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121333221 - 215 = 13121300453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13121333192 and 13121333201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121333321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560666610 + 6560666611.

It is an arithmetic number, because the mean of its divisors is an integer number (6560666611).

Almost surely, 213121333221 is an apocalyptic number.

It is an amenable number.

13121333221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121333221 is an equidigital number, since it uses as much as digits as its factorization.

13121333221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 22.

Adding to 13121333221 its reverse (12233312131), we get a palindrome (25354645352).

The spelling of 13121333221 in words is "thirteen billion, one hundred twenty-one million, three hundred thirty-three thousand, two hundred twenty-one".