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13028896513 is a prime number
BaseRepresentation
bin11000010001001010…
…10010111100000001
31020122000011112000201
430020211102330001
5203140344142023
65552502245201
7640603536013
oct141045227401
936560145021
1013028896513
115586521876
122637426801
1312c837b629
148b852c1b3
15513c5dbad
hex308952f01

13028896513 has 2 divisors, whose sum is σ = 13028896514. Its totient is φ = 13028896512.

The previous prime is 13028896477. The next prime is 13028896567. The reversal of 13028896513 is 31569882031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12734671104 + 294225409 = 112848^2 + 17153^2 .

It is a cyclic number.

It is not a de Polignac number, because 13028896513 - 213 = 13028888321 is a prime.

It is not a weakly prime, because it can be changed into another prime (13028896583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6514448256 + 6514448257.

It is an arithmetic number, because the mean of its divisors is an integer number (6514448257).

Almost surely, 213028896513 is an apocalyptic number.

It is an amenable number.

13028896513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13028896513 is an equidigital number, since it uses as much as digits as its factorization.

13028896513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 46.

It can be divided in two parts, 130288 and 96513, that added together give a triangular number (226801 = T673).

The spelling of 13028896513 in words is "thirteen billion, twenty-eight million, eight hundred ninety-six thousand, five hundred thirteen".