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1000012110313 is a prime number
BaseRepresentation
bin11101000110101010101…
…11011101100111101001
310112121012120012200201011
432203111113131213221
5112341011100012223
62043222122023521
7132151142455036
oct16432527354751
93477176180634
101000012110313
11356114847617
12141986047ba1
13733ba948ac8
1436587cba38d
151b02c85980d
hexe8d55dd9e9

1000012110313 has 2 divisors, whose sum is σ = 1000012110314. Its totient is φ = 1000012110312.

The previous prime is 1000012110287. The next prime is 1000012110343. The reversal of 1000012110313 is 3130112100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 540067721449 + 459944388864 = 734893^2 + 678192^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000012110313 - 25 = 1000012110281 is a prime.

It is a super-3 number, since 3×10000121103133 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000012110293 and 1000012110302.

It is not a weakly prime, because it can be changed into another prime (1000012110343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500006055156 + 500006055157.

It is an arithmetic number, because the mean of its divisors is an integer number (500006055157).

Almost surely, 21000012110313 is an apocalyptic number.

It is an amenable number.

1000012110313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000012110313 is an equidigital number, since it uses as much as digits as its factorization.

1000012110313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1000012110313 its reverse (3130112100001), we get a palindrome (4130124210314).

The spelling of 1000012110313 in words is "one trillion, twelve million, one hundred ten thousand, three hundred thirteen".