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13331123121 = 31719128310723
BaseRepresentation
bin11000110101001100…
…01100101110110001
31021102001212012222210
430122212030232301
5204300231414441
610042500122333
7651233451111
oct143246145661
937361765883
1013331123121
115721087128
1227006963a9
131345b78a44
14906721041
1553055c616
hex31a98cbb1

13331123121 has 32 divisors (see below), whose sum is σ = 19828247040. Its totient is φ = 7917467904.

The previous prime is 13331123093. The next prime is 13331123131. The reversal of 13331123121 is 12132113331.

It is a happy number.

13331123121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13331123121 - 229 = 12794252209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13331123131) 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 in 31 ways as a sum of consecutive naturals, for example, 1237866 + ... + 1248588.

It is an arithmetic number, because the mean of its divisors is an integer number (619632720).

Almost surely, 213331123121 is an apocalyptic number.

It is an amenable number.

13331123121 is a deficient number, since it is larger than the sum of its proper divisors (6497123919).

13331123121 is a wasteful number, since it uses less digits than its factorization.

13331123121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12045.

The product of its digits is 324, while the sum is 21.

Adding to 13331123121 its reverse (12132113331), we get a palindrome (25463236452).

The spelling of 13331123121 in words is "thirteen billion, three hundred thirty-one million, one hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 17 19 51 57 323 969 1283 3849 10723 21811 24377 32169 65433 73131 182291 203737 414409 546873 611211 1243227 3463529 10390587 13757609 41272827 233879353 261394571 701638059 784183713 4443707707 13331123121