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13002211331 is a prime number
BaseRepresentation
bin11000001101111111…
…00000000000000011
31020120010221202211122
430012333200000003
5203112031230311
65550110302455
7640130654444
oct140677400003
936503852748
1013002211331
1155724558aa
12262a4b7a2b
1312c2997395
148b4b832cb
1551173c0db
hex306fe0003

13002211331 has 2 divisors, whose sum is σ = 13002211332. Its totient is φ = 13002211330.

The previous prime is 13002211319. The next prime is 13002211349. The reversal of 13002211331 is 13311220031.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13002211331 - 210 = 13002210307 is a prime.

It is a super-2 number, since 2×130022113312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (13002211361) 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, 6501105665 + 6501105666.

It is an arithmetic number, because the mean of its divisors is an integer number (6501105666).

Almost surely, 213002211331 is an apocalyptic number.

13002211331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13002211331 is an equidigital number, since it uses as much as digits as its factorization.

13002211331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13002211331 its reverse (13311220031), we get a palindrome (26313431362).

The spelling of 13002211331 in words is "thirteen billion, two million, two hundred eleven thousand, three hundred thirty-one".