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12321112013137 is a prime number
BaseRepresentation
bin1011001101001011101110…
…0000010011100101010001
31121121212221110222112001001
42303102323200103211101
53103332114133410022
642112123554542001
72411112433050514
oct263227340234521
947555843875031
1012321112013137
113a20399580044
12146bab7597901
136b4b503c1a55
143084b8990d7b
15165778ca5b27
hexb34bb813951

12321112013137 has 2 divisors, whose sum is σ = 12321112013138. Its totient is φ = 12321112013136.

The previous prime is 12321112013029. The next prime is 12321112013173. The reversal of 12321112013137 is 73131021112321.

It is a happy number.

Together with next prime (12321112013173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11624035635216 + 697076377921 = 3409404^2 + 834911^2 .

It is a cyclic number.

It is not a de Polignac number, because 12321112013137 - 27 = 12321112013009 is a prime.

It is not a weakly prime, because it can be changed into another prime (12321112043137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6160556006568 + 6160556006569.

It is an arithmetic number, because the mean of its divisors is an integer number (6160556006569).

Almost surely, 212321112013137 is an apocalyptic number.

It is an amenable number.

12321112013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12321112013137 is an equidigital number, since it uses as much as digits as its factorization.

12321112013137 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 28.

Adding to 12321112013137 its reverse (73131021112321), we get a palindrome (85452133125458).

The spelling of 12321112013137 in words is "twelve trillion, three hundred twenty-one billion, one hundred twelve million, thirteen thousand, one hundred thirty-seven".