Search a number
-
+
1313131109 is a prime number
BaseRepresentation
bin100111001000100…
…1100101001100101
310101111212222020112
41032101030221211
510142130143414
6334144542405
744353300403
oct11621145145
93344788215
101313131109
11614256924
12307921a05
1317c084a74
14c657c473
157a435d3e
hex4e44ca65

1313131109 has 2 divisors, whose sum is σ = 1313131110. Its totient is φ = 1313131108.

The previous prime is 1313131087. The next prime is 1313131117. The reversal of 1313131109 is 9011313131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 742399009 + 570732100 = 27247^2 + 23890^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313131109 - 228 = 1044695653 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313131129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656565554 + 656565555.

It is an arithmetic number, because the mean of its divisors is an integer number (656565555).

Almost surely, 21313131109 is an apocalyptic number.

It is an amenable number.

1313131109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313131109 is an equidigital number, since it uses as much as digits as its factorization.

1313131109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 243, while the sum is 23.

The square root of 1313131109 is about 36237.1509503714. The cubic root of 1313131109 is about 1095.0552459912.

The spelling of 1313131109 in words is "one billion, three hundred thirteen million, one hundred thirty-one thousand, one hundred nine".