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1312303313 is a prime number
BaseRepresentation
bin100111000111000…
…0010100011010001
310101110022220201102
41032032002203101
510141422201223
6334115114145
744343252116
oct11616024321
93343286642
101312303313
116138409a2
123075a2955
1317bb55049
14c640490d
157a320928
hex4e3828d1

1312303313 has 2 divisors, whose sum is σ = 1312303314. Its totient is φ = 1312303312.

The previous prime is 1312303301. The next prime is 1312303411. The reversal of 1312303313 is 3133032131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1282141249 + 30162064 = 35807^2 + 5492^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312303313 - 24 = 1312303297 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 (1312303613) 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, 656151656 + 656151657.

It is an arithmetic number, because the mean of its divisors is an integer number (656151657).

Almost surely, 21312303313 is an apocalyptic number.

It is an amenable number.

1312303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312303313 is an equidigital number, since it uses as much as digits as its factorization.

1312303313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 1312303313 is about 36225.7272252746. The cubic root of 1312303313 is about 1094.8250905267.

Adding to 1312303313 its reverse (3133032131), we get a palindrome (4445335444).

The spelling of 1312303313 in words is "one billion, three hundred twelve million, three hundred three thousand, three hundred thirteen".