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13232231313 = 372195921361
BaseRepresentation
bin11000101001011001…
…11101001110010001
31021011011202222221020
430110230331032101
5204044422400223
610025004350053
7645623052600
oct142454751621
937134688836
1013232231313
115680282264
122693545329
13132b532792
148d753ba37
15526a261e3
hex314b3d391

13232231313 has 72 divisors (see below), whose sum is σ = 21992159520. Its totient is φ = 7036727040.

The previous prime is 13232231293. The next prime is 13232231317. The reversal of 13232231313 is 31313223231.

13232231313 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 13232231313 - 210 = 13232230289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13232231317) 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 71 ways as a sum of consecutive naturals, for example, 9721753 + ... + 9723113.

It is an arithmetic number, because the mean of its divisors is an integer number (305446660).

Almost surely, 213232231313 is an apocalyptic number.

It is an amenable number.

13232231313 is a deficient number, since it is larger than the sum of its proper divisors (8759928207).

13232231313 is a wasteful number, since it uses less digits than its factorization.

13232231313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1449 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

Adding to 13232231313 its reverse (31313223231), we get a palindrome (44545454544).

The spelling of 13232231313 in words is "thirteen billion, two hundred thirty-two million, two hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 7 19 21 49 57 59 133 147 177 399 413 931 1121 1239 1361 2793 2891 3363 3481 4083 7847 8673 9527 10443 23541 24367 25859 28581 54929 66139 66689 73101 77577 80299 164787 170569 181013 198417 200067 240897 462973 511707 543039 562093 1267091 1388919 1525681 1686279 3240811 3801273 3934651 4577043 4737641 9722433 10679767 11803953 14212923 32039301 33163487 74758369 90015179 99490461 224275107 232144409 270045537 630106253 696433227 1890318759 4410743771 13232231313