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1311334331117 is a prime number
BaseRepresentation
bin10011000101010001100…
…111011111001011101101
311122100210010220010112112
4103011101213133023231
5132441103042043432
62442230233413405
7163512041621456
oct23052147371355
94570703803475
101311334331117
11466152052998
1219218b26a265
1396873380045
144767ca0812d
152419e0057b2
hex131519df2ed

1311334331117 has 2 divisors, whose sum is σ = 1311334331118. Its totient is φ = 1311334331116.

The previous prime is 1311334331113. The next prime is 1311334331159. The reversal of 1311334331117 is 7111334331131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 798411944521 + 512922386596 = 893539^2 + 716186^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311334331117 - 22 = 1311334331113 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311334331113) 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, 655667165558 + 655667165559.

It is an arithmetic number, because the mean of its divisors is an integer number (655667165559).

Almost surely, 21311334331117 is an apocalyptic number.

It is an amenable number.

1311334331117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311334331117 is an equidigital number, since it uses as much as digits as its factorization.

1311334331117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6804, while the sum is 32.

Adding to 1311334331117 its reverse (7111334331131), we get a palindrome (8422668662248).

The spelling of 1311334331117 in words is "one trillion, three hundred eleven billion, three hundred thirty-four million, three hundred thirty-one thousand, one hundred seventeen".