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13031111329 is a prime number
BaseRepresentation
bin11000010001011011…
…01111101010100001
31020122011100001011221
430020231233222201
5203141431030304
65553021535041
7640631422135
oct141055575241
936564301157
1013031111329
1155877a48a5
122638114481
1312c8975782
148b89473c5
1551404a054
hex308b6faa1

13031111329 has 2 divisors, whose sum is σ = 13031111330. Its totient is φ = 13031111328.

The previous prime is 13031111321. The next prime is 13031111341. The reversal of 13031111329 is 92311113031.

13031111329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7468934929 + 5562176400 = 86423^2 + 74580^2 .

It is an emirp because it is prime and its reverse (92311113031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13031111329 - 23 = 13031111321 is a prime.

It is not a weakly prime, because it can be changed into another prime (13031111321) 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, 6515555664 + 6515555665.

It is an arithmetic number, because the mean of its divisors is an integer number (6515555665).

Almost surely, 213031111329 is an apocalyptic number.

It is an amenable number.

13031111329 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031111329 is an equidigital number, since it uses as much as digits as its factorization.

13031111329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

The spelling of 13031111329 in words is "thirteen billion, thirty-one million, one hundred eleven thousand, three hundred twenty-nine".