Search a number
-
+
1313132993 is a prime number
BaseRepresentation
bin100111001000100…
…1101000111000001
310101111220001211022
41032101031013001
510142130223433
6334144555225
744353306034
oct11621150701
93344801738
101313132993
11614258287
12307922b15
1317c085893
14c657d01b
157a436698
hex4e44d1c1

1313132993 has 2 divisors, whose sum is σ = 1313132994. Its totient is φ = 1313132992.

The previous prime is 1313132981. The next prime is 1313133013. The reversal of 1313132993 is 3992313131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1233976384 + 79156609 = 35128^2 + 8897^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313132993 - 212 = 1313128897 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1313132593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656566496 + 656566497.

It is an arithmetic number, because the mean of its divisors is an integer number (656566497).

Almost surely, 21313132993 is an apocalyptic number.

It is an amenable number.

1313132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313132993 is an equidigital number, since it uses as much as digits as its factorization.

1313132993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13122, while the sum is 35.

The square root of 1313132993 is about 36237.1769457832. The cubic root of 1313132993 is about 1095.0557696969.

The spelling of 1313132993 in words is "one billion, three hundred thirteen million, one hundred thirty-two thousand, nine hundred ninety-three".