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1311311089729 is a prime number
BaseRepresentation
bin10011000101010000001…
…110110101000001000001
311122100201112011100100101
4103011100032311001001
5132441031114332404
62442224043322401
7163511340232354
oct23052016650101
94570645140311
101311311089729
1146613aa19333
12192183520401
139686b603444
14476798b829b
152419be642a4
hex131503b5041

1311311089729 has 2 divisors, whose sum is σ = 1311311089730. Its totient is φ = 1311311089728.

The previous prime is 1311311089709. The next prime is 1311311089799. The reversal of 1311311089729 is 9279801131131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1240316553025 + 70994536704 = 1113695^2 + 266448^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311311089729 - 27 = 1311311089601 is a prime.

It is not a weakly prime, because it can be changed into another prime (1311311089709) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655655544864 + 655655544865.

It is an arithmetic number, because the mean of its divisors is an integer number (655655544865).

Almost surely, 21311311089729 is an apocalyptic number.

It is an amenable number.

1311311089729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311311089729 is an equidigital number, since it uses as much as digits as its factorization.

1311311089729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 46.

The spelling of 1311311089729 in words is "one trillion, three hundred eleven billion, three hundred eleven million, eighty-nine thousand, seven hundred twenty-nine".