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313023143201137 is a prime number
BaseRepresentation
bin100011100101100010110000…
…1010000011100100101110001
31112001022201110001110112202021
41013023011201100130211301
5312012032344124414022
63025424502523551441
7122635114203303205
oct10713054120344561
91461281401415667
10313023143201137
1190814407927826
122b135b9538b581
1310587c56a0a795
145742588384b05
15262c6b4b907c7
hex11cb16141c971

313023143201137 has 2 divisors, whose sum is σ = 313023143201138. Its totient is φ = 313023143201136.

The previous prime is 313023143201123. The next prime is 313023143201159. The reversal of 313023143201137 is 731102341320313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 310506830409616 + 2516312791521 = 17621204^2 + 1586289^2 .

It is a cyclic number.

It is not a de Polignac number, because 313023143201137 - 243 = 304227050178929 is a prime.

It is not a weakly prime, because it can be changed into another prime (313023143202137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156511571600568 + 156511571600569.

It is an arithmetic number, because the mean of its divisors is an integer number (156511571600569).

Almost surely, 2313023143201137 is an apocalyptic number.

It is an amenable number.

313023143201137 is a deficient number, since it is larger than the sum of its proper divisors (1).

313023143201137 is an equidigital number, since it uses as much as digits as its factorization.

313023143201137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 34.

The spelling of 313023143201137 in words is "three hundred thirteen trillion, twenty-three billion, one hundred forty-three million, two hundred one thousand, one hundred thirty-seven".