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13331323313 = 7111710184357
BaseRepresentation
bin11000110101001101…
…11101100110110001
31021102002020101121022
430122212331212301
5204300304321223
610042504305225
7651235243550
oct143246754661
937362211538
1013331323313
115721203580
122700772215
131345c18bb9
14906773d97
1553059bac8
hex31a9bd9b1

13331323313 has 16 divisors (see below), whose sum is σ = 17598570624. Its totient is φ = 9776981760.

The previous prime is 13331323309. The next prime is 13331323361. The reversal of 13331323313 is 31332313331.

It is a happy number.

It is not a de Polignac number, because 13331323313 - 22 = 13331323309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331323303) 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 in 15 ways as a sum of consecutive naturals, for example, 5090870 + ... + 5093487.

It is an arithmetic number, because the mean of its divisors is an integer number (1099910664).

Almost surely, 213331323313 is an apocalyptic number.

It is an amenable number.

13331323313 is a deficient number, since it is larger than the sum of its proper divisors (4267247311).

13331323313 is a wasteful number, since it uses less digits than its factorization.

13331323313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184392.

The product of its digits is 4374, while the sum is 26.

Adding to 13331323313 its reverse (31332313331), we get a palindrome (44663636644).

The spelling of 13331323313 in words is "thirteen billion, three hundred thirty-one million, three hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 7 11 17 77 119 187 1309 10184357 71290499 112027927 173134069 784195489 1211938483 1904474759 13331323313