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13221032137 is a prime number
BaseRepresentation
bin11000101000000100…
…01111000011001001
31021010101201000112221
430110002033003021
5204034041012022
610023524334041
7645425630125
oct142402170311
937111630487
1013221032137
115674a23145
12268b844321
131329111151
148d5c64585
15525a62cc7
hex31408f0c9

13221032137 has 2 divisors, whose sum is σ = 13221032138. Its totient is φ = 13221032136.

The previous prime is 13221032131. The next prime is 13221032183. The reversal of 13221032137 is 73123012231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11981710521 + 1239321616 = 109461^2 + 35204^2 .

It is a cyclic number.

It is not a de Polignac number, because 13221032137 - 23 = 13221032129 is a prime.

It is not a weakly prime, because it can be changed into another prime (13221032131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610516068 + 6610516069.

It is an arithmetic number, because the mean of its divisors is an integer number (6610516069).

Almost surely, 213221032137 is an apocalyptic number.

It is an amenable number.

13221032137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221032137 is an equidigital number, since it uses as much as digits as its factorization.

13221032137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 25.

Adding to 13221032137 its reverse (73123012231), we get a palindrome (86344044368).

The spelling of 13221032137 in words is "thirteen billion, two hundred twenty-one million, thirty-two thousand, one hundred thirty-seven".