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13015115137 is a prime number
BaseRepresentation
bin11000001111100001…
…01110010110000001
31020121001020100112101
430013300232112001
5203123332141022
65551251030401
7640345440043
oct140760562601
936531210471
1013015115137
115579769702
12263289b401
1312c556487b
148b6781a93
1551293a627
hex307c2e581

13015115137 has 2 divisors, whose sum is σ = 13015115138. Its totient is φ = 13015115136.

The previous prime is 13015115131. The next prime is 13015115167. The reversal of 13015115137 is 73151151031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9037164096 + 3977951041 = 95064^2 + 63071^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13015115137 is a prime.

It is not a weakly prime, because it can be changed into another prime (13015115131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6507557568 + 6507557569.

It is an arithmetic number, because the mean of its divisors is an integer number (6507557569).

Almost surely, 213015115137 is an apocalyptic number.

It is an amenable number.

13015115137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13015115137 is an equidigital number, since it uses as much as digits as its factorization.

13015115137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1575, while the sum is 28.

Adding to 13015115137 its reverse (73151151031), we get a palindrome (86166266168).

The spelling of 13015115137 in words is "thirteen billion, fifteen million, one hundred fifteen thousand, one hundred thirty-seven".