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11001310013 is a prime number
BaseRepresentation
bin10100011111011101…
…01010101100111101
31001101200220110020102
422033232222230331
5140012313410023
65015352130445
7536423410061
oct121756525475
931350813212
1011001310013
114735a53051
122170396a25
1310642959c5
14765131aa1
15445c4c628
hex28fbaab3d

11001310013 has 2 divisors, whose sum is σ = 11001310014. Its totient is φ = 11001310012.

The previous prime is 11001310009. The next prime is 11001310037. The reversal of 11001310013 is 31001310011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7432681369 + 3568628644 = 86213^2 + 59738^2 .

It is a cyclic number.

It is not a de Polignac number, because 11001310013 - 22 = 11001310009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11001309976 and 11001310003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11001310063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500655006 + 5500655007.

It is an arithmetic number, because the mean of its divisors is an integer number (5500655007).

Almost surely, 211001310013 is an apocalyptic number.

It is an amenable number.

11001310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11001310013 is an equidigital number, since it uses as much as digits as its factorization.

11001310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 11001310013 its reverse (31001310011), we get a palindrome (42002620024).

The spelling of 11001310013 in words is "eleven billion, one million, three hundred ten thousand, thirteen".