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1012311042313 is a prime number
BaseRepresentation
bin11101011101100100111…
…00001010100100001001
310120202221200211011200011
432232302130022210021
5113041203111323223
62053014350511521
7133065003612454
oct16566234124411
93522850734604
101012311042313
1136035621322a
12144238b055a1
13745ca9c626c
1436dd34b049b
151b4ec47780d
hexebb270a909

1012311042313 has 2 divisors, whose sum is σ = 1012311042314. Its totient is φ = 1012311042312.

The previous prime is 1012311042311. The next prime is 1012311042397. The reversal of 1012311042313 is 3132401132101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 898709688009 + 113601354304 = 948003^2 + 337048^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012311042313 - 21 = 1012311042311 is a prime.

Together with 1012311042311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1012311042311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506155521156 + 506155521157.

It is an arithmetic number, because the mean of its divisors is an integer number (506155521157).

Almost surely, 21012311042313 is an apocalyptic number.

It is an amenable number.

1012311042313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012311042313 is an equidigital number, since it uses as much as digits as its factorization.

1012311042313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1012311042313 its reverse (3132401132101), we get a palindrome (4144712174414).

The spelling of 1012311042313 in words is "one trillion, twelve billion, three hundred eleven million, forty-two thousand, three hundred thirteen".