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1313838413 is a prime number
BaseRepresentation
bin100111001001111…
…1001010101001101
310101120012220110222
41032103321111031
510142320312123
6334212041125
744362304456
oct11623712515
93346186428
101313838413
1161469a278
123080031a5
1317c2719a4
14c66c412d
157a5256c8
hex4e4f954d

1313838413 has 2 divisors, whose sum is σ = 1313838414. Its totient is φ = 1313838412.

The previous prime is 1313838377. The next prime is 1313838473. The reversal of 1313838413 is 3148383131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1144265929 + 169572484 = 33827^2 + 13022^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313838413 - 26 = 1313838349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313838473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656919206 + 656919207.

It is an arithmetic number, because the mean of its divisors is an integer number (656919207).

Almost surely, 21313838413 is an apocalyptic number.

It is an amenable number.

1313838413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313838413 is an equidigital number, since it uses as much as digits as its factorization.

1313838413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20736, while the sum is 35.

The square root of 1313838413 is about 36246.9090130455. The cubic root of 1313838413 is about 1095.2518239583.

The spelling of 1313838413 in words is "one billion, three hundred thirteen million, eight hundred thirty-eight thousand, four hundred thirteen".