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13313122144229 is a prime number
BaseRepresentation
bin1100000110111011001111…
…1010101000111111100101
31202010201111101001112212102
43001232303322220333211
53221110233232103404
644151544110501445
72542561402043225
oct301566372507745
952121441045772
1013313122144229
114273077418196
1215b0209804885
137575642838bb
14340503c0a085
15181488d7371e
hexc1bb3ea8fe5

13313122144229 has 2 divisors, whose sum is σ = 13313122144230. Its totient is φ = 13313122144228.

The previous prime is 13313122144181. The next prime is 13313122144297. The reversal of 13313122144229 is 92244122131331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7740581196100 + 5572540948129 = 2782190^2 + 2360623^2 .

It is a cyclic number.

It is not a de Polignac number, because 13313122144229 - 228 = 13312853708773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13313122144192 and 13313122144201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13313125144229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6656561072114 + 6656561072115.

It is an arithmetic number, because the mean of its divisors is an integer number (6656561072115).

Almost surely, 213313122144229 is an apocalyptic number.

It is an amenable number.

13313122144229 is a deficient number, since it is larger than the sum of its proper divisors (1).

13313122144229 is an equidigital number, since it uses as much as digits as its factorization.

13313122144229 is an evil number, because the sum of its binary digits is even.

The product of its digits is 62208, while the sum is 38.

The spelling of 13313122144229 in words is "thirteen trillion, three hundred thirteen billion, one hundred twenty-two million, one hundred forty-four thousand, two hundred twenty-nine".