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1313202213329 is a prime number
BaseRepresentation
bin10011000111000000111…
…100111001000111010001
311122112121022122101020012
4103013000330321013101
5133003414231311304
62443135440524305
7163606242432266
oct23070074710721
94575538571205
101313202213329
11466a204614a6
12192610920695
1396ab03499a6
14477b8b1126d
152425cebc16e
hex131c0f391d1

1313202213329 has 2 divisors, whose sum is σ = 1313202213330. Its totient is φ = 1313202213328.

The previous prime is 1313202213209. The next prime is 1313202213331. The reversal of 1313202213329 is 9233122023131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 738607892929 + 574594320400 = 859423^2 + 758020^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1313202213329 is a prime.

Together with 1313202213331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313202213295 and 1313202213304.

It is not a weakly prime, because it can be changed into another prime (1313202203329) 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, 656601106664 + 656601106665.

It is an arithmetic number, because the mean of its divisors is an integer number (656601106665).

Almost surely, 21313202213329 is an apocalyptic number.

It is an amenable number.

1313202213329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313202213329 is an equidigital number, since it uses as much as digits as its factorization.

1313202213329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 32.

The spelling of 1313202213329 in words is "one trillion, three hundred thirteen billion, two hundred two million, two hundred thirteen thousand, three hundred twenty-nine".