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13000913 is a prime number
BaseRepresentation
bin110001100110…
…000011010001
3220110111220022
4301212003101
511312012123
61142353225
7215335352
oct61460321
926414808
1013000913
11737a862
12442b815
132902763
141a25d29
15121c1c8
hexc660d1

13000913 has 2 divisors, whose sum is σ = 13000914. Its totient is φ = 13000912.

The previous prime is 13000909. The next prime is 13000919. The reversal of 13000913 is 31900031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6615184 + 6385729 = 2572^2 + 2527^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000913 - 22 = 13000909 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13000891 and 13000900.

It is not a weakly prime, because it can be changed into another prime (13000919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6500456 + 6500457.

It is an arithmetic number, because the mean of its divisors is an integer number (6500457).

Almost surely, 213000913 is an apocalyptic number.

It is an amenable number.

13000913 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000913 is an equidigital number, since it uses as much as digits as its factorization.

13000913 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 13000913 is about 3605.6778835609. The cubic root of 13000913 is about 235.1389731780.

Adding to 13000913 its reverse (31900031), we get a palindrome (44900944).

The spelling of 13000913 in words is "thirteen million, nine hundred thirteen", and thus it is an aban number.