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11001310321 is a prime number
BaseRepresentation
bin10100011111011101…
…01010110001110001
31001101200220110122211
422033232222301301
5140012313412241
65015352132121
7536423411011
oct121756526161
931350813584
1011001310321
114735a53301
122170397041
131064295ba1
14765131c41
15445c4c781
hex28fbaac71

11001310321 has 2 divisors, whose sum is σ = 11001310322. Its totient is φ = 11001310320.

The previous prime is 11001310319. The next prime is 11001310337. The reversal of 11001310321 is 12301310011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10391763600 + 609546721 = 101940^2 + 24689^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001310321 - 21 = 11001310319 is a prime.

It is a super-2 number, since 2×110013103212 (a number of 21 digits) contains 22 as substring.

Together with 11001310319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (11001310301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500655160 + 5500655161.

It is an arithmetic number, because the mean of its divisors is an integer number (5500655161).

Almost surely, 211001310321 is an apocalyptic number.

It is an amenable number.

11001310321 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001310321 is an equidigital number, since it uses as much as digits as its factorization.

11001310321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11001310321 its reverse (12301310011), we get a palindrome (23302620332).

The spelling of 11001310321 in words is "eleven billion, one million, three hundred ten thousand, three hundred twenty-one".