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13132515313 is a prime number
BaseRepresentation
bin11000011101100001…
…00100011111110001
31020220020010220022001
430032300210133301
5203343410442223
610011043214001
7643302352441
oct141660443761
936806126261
1013132515313
115629a65145
122666077301
13131398b328
148c81c2121
1551cdca9ad
hex30ec247f1

13132515313 has 2 divisors, whose sum is σ = 13132515314. Its totient is φ = 13132515312.

The previous prime is 13132515311. The next prime is 13132515343. The reversal of 13132515313 is 31351523131.

It is a happy number.

13132515313 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., 13052377009 + 80138304 = 114247^2 + 8952^2 .

It is a cyclic number.

It is not a de Polignac number, because 13132515313 - 21 = 13132515311 is a prime.

Together with 13132515311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13132515311) 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, 6566257656 + 6566257657.

It is an arithmetic number, because the mean of its divisors is an integer number (6566257657).

Almost surely, 213132515313 is an apocalyptic number.

It is an amenable number.

13132515313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13132515313 is an equidigital number, since it uses as much as digits as its factorization.

13132515313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4050, while the sum is 28.

The spelling of 13132515313 in words is "thirteen billion, one hundred thirty-two million, five hundred fifteen thousand, three hundred thirteen".