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123103131329 is a prime number
BaseRepresentation
bin111001010100110000…
…1001011011011000001
3102202202021021000102102
41302221201023123001
54004103400200304
6132315223200145
711615416231343
oct1625141133301
9382667230372
10123103131329
1148231565672
121ba36ba6055
13b7bb06a759
145d5b517293
15330761bd1e
hex1ca984b6c1

123103131329 has 2 divisors, whose sum is σ = 123103131330. Its totient is φ = 123103131328.

The previous prime is 123103131301. The next prime is 123103131337. The reversal of 123103131329 is 923131301321.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116936641600 + 6166489729 = 341960^2 + 78527^2 .

It is an emirp because it is prime and its reverse (923131301321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123103131329 - 236 = 54383654593 is a prime.

It is not a weakly prime, because it can be changed into another prime (123103131029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61551565664 + 61551565665.

It is an arithmetic number, because the mean of its divisors is an integer number (61551565665).

Almost surely, 2123103131329 is an apocalyptic number.

It is an amenable number.

123103131329 is a deficient number, since it is larger than the sum of its proper divisors (1).

123103131329 is an equidigital number, since it uses as much as digits as its factorization.

123103131329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 123103131329 in words is "one hundred twenty-three billion, one hundred three million, one hundred thirty-one thousand, three hundred twenty-nine".