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13221301213 is a prime number
BaseRepresentation
bin11000101000000110…
…10000101111011101
31021010102012200122201
430110003100233131
5204034123114323
610023534211501
7645431130451
oct142403205735
937112180581
1013221301213
11567509731a
12268b953b91
1313291a6773
148d5cd4661
15525ab78ad
hex3140d0bdd

13221301213 has 2 divisors, whose sum is σ = 13221301214. Its totient is φ = 13221301212.

The previous prime is 13221301199. The next prime is 13221301237. The reversal of 13221301213 is 31210312231.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7796536804 + 5424764409 = 88298^2 + 73653^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13221301213 is a prime.

It is a super-3 number, since 3×132213012133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13221301253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6610650606 + 6610650607.

It is an arithmetic number, because the mean of its divisors is an integer number (6610650607).

Almost surely, 213221301213 is an apocalyptic number.

It is an amenable number.

13221301213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13221301213 is an equidigital number, since it uses as much as digits as its factorization.

13221301213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13221301213 its reverse (31210312231), we get a palindrome (44431613444).

The spelling of 13221301213 in words is "thirteen billion, two hundred twenty-one million, three hundred one thousand, two hundred thirteen".