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12331001329 is a prime number
BaseRepresentation
bin10110111101111110…
…00010010111110001
31011211100221202210221
423132333002113301
5200223214020304
65355332053041
7614400532123
oct133677022761
934740852727
1012331001329
11525858a899
122481764181
1312168c82ba
1484d981213
154c2855054
hex2defc25f1

12331001329 has 2 divisors, whose sum is σ = 12331001330. Its totient is φ = 12331001328.

The previous prime is 12331001317. The next prime is 12331001341. The reversal of 12331001329 is 92310013321.

It is a balanced prime because it is at equal distance from previous prime (12331001317) and next prime (12331001341).

It can be written as a sum of positive squares in only one way, i.e., 7995042225 + 4335959104 = 89415^2 + 65848^2 .

It is an emirp because it is prime and its reverse (92310013321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12331001329 - 25 = 12331001297 is a prime.

It is not a weakly prime, because it can be changed into another prime (12331001029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165500664 + 6165500665.

It is an arithmetic number, because the mean of its divisors is an integer number (6165500665).

Almost surely, 212331001329 is an apocalyptic number.

It is an amenable number.

12331001329 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331001329 is an equidigital number, since it uses as much as digits as its factorization.

12331001329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 12331001329 in words is "twelve billion, three hundred thirty-one million, one thousand, three hundred twenty-nine".