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13201314173 is a prime number
BaseRepresentation
bin11000100101101110…
…00001000101111101
31021002000121020120222
430102313001011331
5204014014023143
610021541551125
7645066214265
oct142267010575
937060536528
1013201314173
115664885803
1226851154a5
131324cc9208
148d33b07a5
15523e6a768
hex312dc117d

13201314173 has 2 divisors, whose sum is σ = 13201314174. Its totient is φ = 13201314172.

The previous prime is 13201314131. The next prime is 13201314223. The reversal of 13201314173 is 37141310231.

It is a happy number.

13201314173 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., 8222318329 + 4978995844 = 90677^2 + 70562^2 .

It is a cyclic number.

It is not a de Polignac number, because 13201314173 - 210 = 13201313149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13201314103) 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, 6600657086 + 6600657087.

It is an arithmetic number, because the mean of its divisors is an integer number (6600657087).

Almost surely, 213201314173 is an apocalyptic number.

It is an amenable number.

13201314173 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201314173 is an equidigital number, since it uses as much as digits as its factorization.

13201314173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

The spelling of 13201314173 in words is "thirteen billion, two hundred one million, three hundred fourteen thousand, one hundred seventy-three".