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13330020313321 is a prime number
BaseRepresentation
bin1100000111111010001100…
…1000000010100011101001
31202012100010000221111000221
43001332203020002203221
53221344340200011241
644203420553130041
72544030221105305
oct301764310024351
952170100844027
1013330020313321
11427a258a54798
1215b35449b9921
1375902814201a
1434126817cd05
15181b276335d1
hexc1fa32028e9

13330020313321 has 2 divisors, whose sum is σ = 13330020313322. Its totient is φ = 13330020313320.

The previous prime is 13330020313319. The next prime is 13330020313517. The reversal of 13330020313321 is 12331302003331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9626747290000 + 3703273023321 = 3102700^2 + 1924389^2 .

It is a cyclic number.

It is not a de Polignac number, because 13330020313321 - 21 = 13330020313319 is a prime.

Together with 13330020313319, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13330020313021) 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, 6665010156660 + 6665010156661.

It is an arithmetic number, because the mean of its divisors is an integer number (6665010156661).

Almost surely, 213330020313321 is an apocalyptic number.

It is an amenable number.

13330020313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13330020313321 is an equidigital number, since it uses as much as digits as its factorization.

13330020313321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13330020313321 its reverse (12331302003331), we get a palindrome (25661322316652).

The spelling of 13330020313321 in words is "thirteen trillion, three hundred thirty billion, twenty million, three hundred thirteen thousand, three hundred twenty-one".