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13221300331 is a prime number
BaseRepresentation
bin11000101000000110…
…10000100001101011
31021010102012122110001
430110003100201223
5204034123102311
610023534203431
7645431125051
oct142403204153
937112178401
1013221300331
115675096698
12268b953577
1313291a6245
148d5cd41d1
15525ab74c1
hex3140d086b

13221300331 has 2 divisors, whose sum is σ = 13221300332. Its totient is φ = 13221300330.

The previous prime is 13221300307. The next prime is 13221300349. The reversal of 13221300331 is 13300312231.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13221300331 is a prime.

It is a super-3 number, since 3×132213003313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13221300299 and 13221300308.

It is not a weakly prime, because it can be changed into another prime (13221303331) 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, 6610650165 + 6610650166.

It is an arithmetic number, because the mean of its divisors is an integer number (6610650166).

Almost surely, 213221300331 is an apocalyptic number.

13221300331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221300331 is an equidigital number, since it uses as much as digits as its factorization.

13221300331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13221300331 its reverse (13300312231), we get a palindrome (26521612562).

The spelling of 13221300331 in words is "thirteen billion, two hundred twenty-one million, three hundred thousand, three hundred thirty-one".