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1001320010137 is a prime number
BaseRepresentation
bin11101001001000110101…
…00101101000110011001
310112201120201020212222101
432210203110231012121
5112401200410311022
62044000002523401
7132225433440046
oct16444324550631
93481521225871
101001320010137
11356726050067
12142090066561
13735688bb725
143666d8961cd
151b0a75aa627
hexe92352d199

1001320010137 has 2 divisors, whose sum is σ = 1001320010138. Its totient is φ = 1001320010136.

The previous prime is 1001320010039. The next prime is 1001320010209. The reversal of 1001320010137 is 7310100231001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 933434228736 + 67885781401 = 966144^2 + 260549^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001320010137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001320010737) 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, 500660005068 + 500660005069.

It is an arithmetic number, because the mean of its divisors is an integer number (500660005069).

Almost surely, 21001320010137 is an apocalyptic number.

It is an amenable number.

1001320010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001320010137 is an equidigital number, since it uses as much as digits as its factorization.

1001320010137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 1001320010137 its reverse (7310100231001), we get a palindrome (8311420241138).

The spelling of 1001320010137 in words is "one trillion, one billion, three hundred twenty million, ten thousand, one hundred thirty-seven".