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12032132131337 is a prime number
BaseRepresentation
bin1010111100010111001011…
…1101100010101000001001
31120121021000222100111111212
42233011302331202220021
53034113301311200322
641331252445102505
72351202310431503
oct257056275425011
946537028314455
1012032132131337
113919886a0274a
121423aa8857a35
13693818712956
142d8503278d73
1515ceb3d0c0e2
hexaf172f62a09

12032132131337 has 2 divisors, whose sum is σ = 12032132131338. Its totient is φ = 12032132131336.

The previous prime is 12032132131231. The next prime is 12032132131339. The reversal of 12032132131337 is 73313123123021.

12032132131337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6415663463056 + 5616468668281 = 2532916^2 + 2369909^2 .

It is a cyclic number.

It is not a de Polignac number, because 12032132131337 - 234 = 12014952262153 is a prime.

Together with 12032132131339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (12032132131339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6016066065668 + 6016066065669.

It is an arithmetic number, because the mean of its divisors is an integer number (6016066065669).

Almost surely, 212032132131337 is an apocalyptic number.

It is an amenable number.

12032132131337 is a deficient number, since it is larger than the sum of its proper divisors (1).

12032132131337 is an equidigital number, since it uses as much as digits as its factorization.

12032132131337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13608, while the sum is 32.

Adding to 12032132131337 its reverse (73313123123021), we get a palindrome (85345255254358).

The spelling of 12032132131337 in words is "twelve trillion, thirty-two billion, one hundred thirty-two million, one hundred thirty-one thousand, three hundred thirty-seven".