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13000103027 is a prime number
BaseRepresentation
bin11000001101101110…
…11101010001110011
31020112222222122210022
430012313131101303
5203111011244102
65545553154055
7640104024002
oct140667352163
936488878708
1013000103027
1155712458aa
12262985b92b
1312c2409872
148b4794c39
155114725a2
hex306ddd473

13000103027 has 2 divisors, whose sum is σ = 13000103028. Its totient is φ = 13000103026.

The previous prime is 13000103021. The next prime is 13000103041. The reversal of 13000103027 is 72030100031.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13000103027 - 220 = 12999054451 is a prime.

It is a super-2 number, since 2×130001030272 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13000102996 and 13000103014.

It is not a weakly prime, because it can be changed into another prime (13000103021) 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, 6500051513 + 6500051514.

It is an arithmetic number, because the mean of its divisors is an integer number (6500051514).

Almost surely, 213000103027 is an apocalyptic number.

13000103027 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000103027 is an equidigital number, since it uses as much as digits as its factorization.

13000103027 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 17.

Adding to 13000103027 its reverse (72030100031), we get a palindrome (85030203058).

The spelling of 13000103027 in words is "thirteen billion, one hundred three thousand, twenty-seven".