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1313303003017 is a prime number
BaseRepresentation
bin10011000111000110111…
…101010111111110001001
311122112212100022000200121
4103013012331113332021
5133004121032044032
62443153441103241
7163611605223625
oct23070675277611
94575770260617
101313303003017
11466a72342265
1219263a627b21
1396ac81a8a65
14477c826a185
1524266c7aa97
hex131c6f57f89

1313303003017 has 2 divisors, whose sum is σ = 1313303003018. Its totient is φ = 1313303003016.

The previous prime is 1313303002961. The next prime is 1313303003063. The reversal of 1313303003017 is 7103003033131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 781250925456 + 532052077561 = 883884^2 + 729419^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1313303003017 is a prime.

It is a super-2 number, since 2×13133030030172 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1313303002982 and 1313303003000.

It is not a weakly prime, because it can be changed into another prime (1313303003417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656651501508 + 656651501509.

It is an arithmetic number, because the mean of its divisors is an integer number (656651501509).

Almost surely, 21313303003017 is an apocalyptic number.

It is an amenable number.

1313303003017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313303003017 is an equidigital number, since it uses as much as digits as its factorization.

1313303003017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 25.

Adding to 1313303003017 its reverse (7103003033131), we get a palindrome (8416306036148).

The spelling of 1313303003017 in words is "one trillion, three hundred thirteen billion, three hundred three million, three thousand, seventeen".