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13117026113 is a prime number
BaseRepresentation
bin11000011011101010…
…11110111101000001
31020212010222222002222
430031311132331001
5203330424313423
610005331220425
7643023611432
oct141565367501
936763888088
1013117026113
115621245954
122660a47715
1313106c7119
148c610d489
1551b86b3c8
hex30dd5ef41

13117026113 has 2 divisors, whose sum is σ = 13117026114. Its totient is φ = 13117026112.

The previous prime is 13117026089. The next prime is 13117026121. The reversal of 13117026113 is 31162071131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9891694849 + 3225331264 = 99457^2 + 56792^2 .

It is a cyclic number.

It is not a de Polignac number, because 13117026113 - 26 = 13117026049 is a prime.

It is not a weakly prime, because it can be changed into another prime (13117026193) 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, 6558513056 + 6558513057.

It is an arithmetic number, because the mean of its divisors is an integer number (6558513057).

Almost surely, 213117026113 is an apocalyptic number.

It is an amenable number.

13117026113 is a deficient number, since it is larger than the sum of its proper divisors (1).

13117026113 is an equidigital number, since it uses as much as digits as its factorization.

13117026113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 13117026113 its reverse (31162071131), we get a palindrome (44279097244).

The spelling of 13117026113 in words is "thirteen billion, one hundred seventeen million, twenty-six thousand, one hundred thirteen".