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13310323129 is a prime number
BaseRepresentation
bin11000110010101101…
…10110100110111001
31021100121201110202201
430121112312212321
5204224420320004
610040434230201
7650561610535
oct143126664671
937317643681
1013310323129
11571036a854
1226b5725361
13134177545c
14903a68bc5
1552d7ee6a4
hex3195b69b9

13310323129 has 2 divisors, whose sum is σ = 13310323130. Its totient is φ = 13310323128.

The previous prime is 13310323093. The next prime is 13310323163. The reversal of 13310323129 is 92132301331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12924279225 + 386043904 = 113685^2 + 19648^2 .

It is a cyclic number.

It is not a de Polignac number, because 13310323129 - 213 = 13310314937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13310323097 and 13310323106.

It is not a weakly prime, because it can be changed into another prime (13310320129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6655161564 + 6655161565.

It is an arithmetic number, because the mean of its divisors is an integer number (6655161565).

Almost surely, 213310323129 is an apocalyptic number.

It is an amenable number.

13310323129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310323129 is an equidigital number, since it uses as much as digits as its factorization.

13310323129 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 28.

It can be divided in two parts, 1331032 and 3129, that added together give a triangular number (1334161 = T1633).

The spelling of 13310323129 in words is "thirteen billion, three hundred ten million, three hundred twenty-three thousand, one hundred twenty-nine".