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13011323137 is a prime number
BaseRepresentation
bin11000001111000100…
…10000100100000001
31020120210002200212221
430013202100210001
5203121344320022
65551033451041
7640301264461
oct140742204401
936523080787
1013011323137
11557760971a
122631570a81
1312c4837897
148b6075ba1
1551243bcc7
hex307890901

13011323137 has 2 divisors, whose sum is σ = 13011323138. Its totient is φ = 13011323136.

The previous prime is 13011323093. The next prime is 13011323197. The reversal of 13011323137 is 73132311031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9494358721 + 3516964416 = 97439^2 + 59304^2 .

It is a cyclic number.

It is not a de Polignac number, because 13011323137 - 219 = 13010798849 is a prime.

It is not a weakly prime, because it can be changed into another prime (13011323197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6505661568 + 6505661569.

It is an arithmetic number, because the mean of its divisors is an integer number (6505661569).

Almost surely, 213011323137 is an apocalyptic number.

It is an amenable number.

13011323137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13011323137 is an equidigital number, since it uses as much as digits as its factorization.

13011323137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 13011323137 its reverse (73132311031), we get a palindrome (86143634168).

The spelling of 13011323137 in words is "thirteen billion, eleven million, three hundred twenty-three thousand, one hundred thirty-seven".