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131211300003313 is a prime number
BaseRepresentation
bin11101110101011000000010…
…111011010101110111110001
3122012120200022002200001011111
4131311120002323111313301
5114144231220300101223
61143021350012513321
736431463221642545
oct3565300273256761
9565520262601144
10131211300003313
11388984441a9032
1212871766a7b841
13582a231c9698a
14245893736ba25
15102819133330d
hex775602ed5df1

131211300003313 has 2 divisors, whose sum is σ = 131211300003314. Its totient is φ = 131211300003312.

The previous prime is 131211300003293. The next prime is 131211300003439. The reversal of 131211300003313 is 313300003112131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103691696799744 + 27519603203569 = 10182912^2 + 5245913^2 .

It is a cyclic number.

It is not a de Polignac number, because 131211300003313 - 29 = 131211300002801 is a prime.

It is a super-3 number, since 3×1312113000033133 (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (131211300003713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65605650001656 + 65605650001657.

It is an arithmetic number, because the mean of its divisors is an integer number (65605650001657).

Almost surely, 2131211300003313 is an apocalyptic number.

It is an amenable number.

131211300003313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131211300003313 is an equidigital number, since it uses as much as digits as its factorization.

131211300003313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131211300003313 its reverse (313300003112131), we get a palindrome (444511303115444).

The spelling of 131211300003313 in words is "one hundred thirty-one trillion, two hundred eleven billion, three hundred million, three thousand, three hundred thirteen".