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1331314421093 is a prime number
BaseRepresentation
bin10011010111111000100…
…001011110110101100101
311201021100120221212100222
4103113320201132311211
5133303012442433333
62455333012214125
7165120132602606
oct23277041366545
94637316855328
101331314421093
11473675313248
1219602660a345
13987088a64a7
14486163c9dad
152496d13c298
hex135f885ed65

1331314421093 has 2 divisors, whose sum is σ = 1331314421094. Its totient is φ = 1331314421092.

The previous prime is 1331314421029. The next prime is 1331314421141. The reversal of 1331314421093 is 3901244131331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1126446840964 + 204867580129 = 1061342^2 + 452623^2 .

It is a cyclic number.

It is not a de Polignac number, because 1331314421093 - 26 = 1331314421029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331314421023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665657210546 + 665657210547.

It is an arithmetic number, because the mean of its divisors is an integer number (665657210547).

Almost surely, 21331314421093 is an apocalyptic number.

It is an amenable number.

1331314421093 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331314421093 is an equidigital number, since it uses as much as digits as its factorization.

1331314421093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 1331314421093 in words is "one trillion, three hundred thirty-one billion, three hundred fourteen million, four hundred twenty-one thousand, ninety-three".