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13331502137 is a prime number
BaseRepresentation
bin11000110101001111…
…01001010000111001
31021102002120110220102
430122213221100321
5204300331032022
610042512205145
7651236620112
oct143247512071
937362513812
1013331502137
115721315968
1227008397b5
131345c7c405
149067bd209
155305d4a92
hex31a9e9439

13331502137 has 2 divisors, whose sum is σ = 13331502138. Its totient is φ = 13331502136.

The previous prime is 13331502113. The next prime is 13331502161. The reversal of 13331502137 is 73120513331.

13331502137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (13331502113) and next prime (13331502161).

It can be written as a sum of positive squares in only one way, i.e., 13202929216 + 128572921 = 114904^2 + 11339^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331502137 - 26 = 13331502073 is a prime.

It is not a weakly prime, because it can be changed into another prime (13331522137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665751068 + 6665751069.

It is an arithmetic number, because the mean of its divisors is an integer number (6665751069).

Almost surely, 213331502137 is an apocalyptic number.

It is an amenable number.

13331502137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331502137 is an equidigital number, since it uses as much as digits as its factorization.

13331502137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 29.

The spelling of 13331502137 in words is "thirteen billion, three hundred thirty-one million, five hundred two thousand, one hundred thirty-seven".