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13005626321 is a prime number
BaseRepresentation
bin11000001110011001…
…00001101111010001
31020120101101021022202
430013030201233101
5203113420020241
65550311412545
7640201666622
oct140714415721
936511337282
1013005626321
115574378606
12262b684155
1312c35c189c
148b53d1a49
15511bb3d9b
hex307321bd1

13005626321 has 2 divisors, whose sum is σ = 13005626322. Its totient is φ = 13005626320.

The previous prime is 13005626239. The next prime is 13005626327. The reversal of 13005626321 is 12362650031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11678044225 + 1327582096 = 108065^2 + 36436^2 .

It is an emirp because it is prime and its reverse (12362650031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13005626321 is a prime.

It is not a weakly prime, because it can be changed into another prime (13005626327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6502813160 + 6502813161.

It is an arithmetic number, because the mean of its divisors is an integer number (6502813161).

Almost surely, 213005626321 is an apocalyptic number.

It is an amenable number.

13005626321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13005626321 is an equidigital number, since it uses as much as digits as its factorization.

13005626321 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 13005626321 in words is "thirteen billion, five million, six hundred twenty-six thousand, three hundred twenty-one".