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13221233131 is a prime number
BaseRepresentation
bin11000101000000110…
…00000000111101011
31021010102002020021011
430110003000013223
5204034113430011
610023532524351
7645430425121
oct142403000753
937112066234
1013221233131
115675050157
12268b9206b7
131329181792
148d5cb7911
15525aa2621
hex3140c01eb

13221233131 has 2 divisors, whose sum is σ = 13221233132. Its totient is φ = 13221233130.

The previous prime is 13221233111. The next prime is 13221233167. The reversal of 13221233131 is 13133212231.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13221233131 - 231 = 11073749483 is a prime.

It is a super-2 number, since 2×132212331312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13221233111) 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, 6610616565 + 6610616566.

It is an arithmetic number, because the mean of its divisors is an integer number (6610616566).

Almost surely, 213221233131 is an apocalyptic number.

13221233131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221233131 is an equidigital number, since it uses as much as digits as its factorization.

13221233131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 648, while the sum is 22.

Adding to 13221233131 its reverse (13133212231), we get a palindrome (26354445362).

The spelling of 13221233131 in words is "thirteen billion, two hundred twenty-one million, two hundred thirty-three thousand, one hundred thirty-one".