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1312130033009 is a prime number
BaseRepresentation
bin10011000110000001000…
…010110110010101110001
311122102211121010222022222
4103012001002312111301
5132444220242024014
62442441220210425
7163540543154165
oct23060102662561
94572747128288
101312130033009
11466520218564
12192371839a15
139696c189773
1447716574ca5
15241e8cce08e
hex131810b6571

1312130033009 has 2 divisors, whose sum is σ = 1312130033010. Its totient is φ = 1312130033008.

The previous prime is 1312130032933. The next prime is 1312130033023. The reversal of 1312130033009 is 9003300312131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 851458335025 + 460671697984 = 922745^2 + 678728^2 .

It is an emirp because it is prime and its reverse (9003300312131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1312130033009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1312130030009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656065016504 + 656065016505.

It is an arithmetic number, because the mean of its divisors is an integer number (656065016505).

Almost surely, 21312130033009 is an apocalyptic number.

It is an amenable number.

1312130033009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312130033009 is an equidigital number, since it uses as much as digits as its factorization.

1312130033009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 1312130033009 in words is "one trillion, three hundred twelve billion, one hundred thirty million, thirty-three thousand, nine".