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1312332103133 is a prime number
BaseRepresentation
bin10011000110001101000…
…101101011110111011101
311122110100200101012102122
4103012031011223313131
5133000124004300013
62442513235232325
7163545545553002
oct23061505536735
94573320335378
101312332103133
11466614294867
121924094486a5
13969a1cba09c
14477353358a9
152420b8e6a08
hex1318d16bddd

1312332103133 has 2 divisors, whose sum is σ = 1312332103134. Its totient is φ = 1312332103132.

The previous prime is 1312332103073. The next prime is 1312332103151. The reversal of 1312332103133 is 3313012332131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1306535869444 + 5796233689 = 1143038^2 + 76133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1312332103133 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1312332103163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656166051566 + 656166051567.

It is an arithmetic number, because the mean of its divisors is an integer number (656166051567).

Almost surely, 21312332103133 is an apocalyptic number.

It is an amenable number.

1312332103133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312332103133 is an equidigital number, since it uses as much as digits as its factorization.

1312332103133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1312332103133 its reverse (3313012332131), we get a palindrome (4625344435264).

The spelling of 1312332103133 in words is "one trillion, three hundred twelve billion, three hundred thirty-two million, one hundred three thousand, one hundred thirty-three".