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13120364129 is a prime number
BaseRepresentation
bin11000011100000100…
…01101111001100001
31020212101021120000012
430032002031321201
5203332303123004
610005530534305
7643064153315
oct141602157141
936771246005
1013120364129
115623115844
122661b97395
1313112c5592
148c673bb45
1551bcca46e
hex30e08de61

13120364129 has 2 divisors, whose sum is σ = 13120364130. Its totient is φ = 13120364128.

The previous prime is 13120364113. The next prime is 13120364167. The reversal of 13120364129 is 92146302131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10449541729 + 2670822400 = 102223^2 + 51680^2 .

It is a cyclic number.

It is not a de Polignac number, because 13120364129 - 24 = 13120364113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13120364095 and 13120364104.

It is not a weakly prime, because it can be changed into another prime (13120364629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560182064 + 6560182065.

It is an arithmetic number, because the mean of its divisors is an integer number (6560182065).

Almost surely, 213120364129 is an apocalyptic number.

It is an amenable number.

13120364129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13120364129 is an equidigital number, since it uses as much as digits as its factorization.

13120364129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 32.

The spelling of 13120364129 in words is "thirteen billion, one hundred twenty million, three hundred sixty-four thousand, one hundred twenty-nine".