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13233102329 is a prime number
BaseRepresentation
bin11000101001100000…
…10001110111111001
31021011020102020202002
430110300101313321
5204100133233304
610025035150345
7645633341156
oct142460216771
937136366662
1013233102329
115680817707
1226938a53b5
13132b779085
148d76c722d
15526b4931e
hex314c11df9

13233102329 has 2 divisors, whose sum is σ = 13233102330. Its totient is φ = 13233102328.

The previous prime is 13233102307. The next prime is 13233102347. The reversal of 13233102329 is 92320133231.

13233102329 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., 13207295929 + 25806400 = 114923^2 + 5080^2 .

It is an emirp because it is prime and its reverse (92320133231) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13233102329 is a prime.

It is a super-2 number, since 2×132331023292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13233102529) 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, 6616551164 + 6616551165.

It is an arithmetic number, because the mean of its divisors is an integer number (6616551165).

Almost surely, 213233102329 is an apocalyptic number.

It is an amenable number.

13233102329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13233102329 is an equidigital number, since it uses as much as digits as its factorization.

13233102329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 13233102329 in words is "thirteen billion, two hundred thirty-three million, one hundred two thousand, three hundred twenty-nine".