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13192312321 is a prime number
BaseRepresentation
bin11000100100101001…
…01011011000000001
31021001101122220101001
430102110223120001
5204004212443241
610021021012001
7644626542646
oct142224533001
937041586331
1013192312321
11565a797561
1226820b4001
131323196a86
148d2109dcd
1552328d431
hex31252b601

13192312321 has 2 divisors, whose sum is σ = 13192312322. Its totient is φ = 13192312320.

The previous prime is 13192312303. The next prime is 13192312333. The reversal of 13192312321 is 12321329131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10912727296 + 2279585025 = 104464^2 + 47745^2 .

It is a cyclic number.

It is not a de Polignac number, because 13192312321 - 225 = 13158757889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13192312321.

It is not a weakly prime, because it can be changed into another prime (13192312361) 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, 6596156160 + 6596156161.

It is an arithmetic number, because the mean of its divisors is an integer number (6596156161).

Almost surely, 213192312321 is an apocalyptic number.

It is an amenable number.

13192312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13192312321 is an equidigital number, since it uses as much as digits as its factorization.

13192312321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 28.

The spelling of 13192312321 in words is "thirteen billion, one hundred ninety-two million, three hundred twelve thousand, three hundred twenty-one".