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1313820713 is a prime number
BaseRepresentation
bin100111001001111…
…0101000000101001
310101120012000012102
41032103311000221
510142314230323
6334211423145
744362202042
oct11623650051
93346160172
101313820713
11614687a47
12307bb4ab5
1317c26690a
14c66bb8c9
157a520328
hex4e4f5029

1313820713 has 2 divisors, whose sum is σ = 1313820714. Its totient is φ = 1313820712.

The previous prime is 1313820653. The next prime is 1313820787. The reversal of 1313820713 is 3170283131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1131111424 + 182709289 = 33632^2 + 13517^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1313820713 is a prime.

It is a super-2 number, since 2×13138207132 = 3452249731815656738, which contains 22 as substring.

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 (1313820413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656910356 + 656910357.

It is an arithmetic number, because the mean of its divisors is an integer number (656910357).

Almost surely, 21313820713 is an apocalyptic number.

It is an amenable number.

1313820713 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313820713 is an equidigital number, since it uses as much as digits as its factorization.

1313820713 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 1313820713 is about 36246.6648534731. The cubic root of 1313820713 is about 1095.2469055340.

The spelling of 1313820713 in words is "one billion, three hundred thirteen million, eight hundred twenty thousand, seven hundred thirteen".