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13311213210321 = 3132108791241333
BaseRepresentation
bin1100000110110100001000…
…1000101000101011010001
31202010112120100001122211120
43001231002020220223101
53221042331040212241
644151030435432453
72542463162264235
oct301550210505321
952115510048746
1013311213210321
11427228791a964
1215ab976455729
1375731b942800
143403a24985c5
151813c649d666
hexc1b42228ad1

13311213210321 has 24 divisors (see below), whose sum is σ = 19218812642496. Its totient is φ = 8191406583360.

The previous prime is 13311213210287. The next prime is 13311213210331. The reversal of 13311213210321 is 12301231211331.

It is not a de Polignac number, because 13311213210321 - 218 = 13311212948177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13311213210291 and 13311213210300.

It is not an unprimeable number, because it can be changed into a prime (13311213210331) 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 23 ways as a sum of consecutive naturals, for example, 55036371 + ... + 55277703.

It is an arithmetic number, because the mean of its divisors is an integer number (800783860104).

Almost surely, 213311213210321 is an apocalyptic number.

It is an amenable number.

13311213210321 is a deficient number, since it is larger than the sum of its proper divisors (5907599432175).

13311213210321 is a wasteful number, since it uses less digits than its factorization.

13311213210321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350153 (or 350140 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13311213210321 its reverse (12301231211331), we get a palindrome (25612444421652).

The spelling of 13311213210321 in words is "thirteen trillion, three hundred eleven billion, two hundred thirteen million, two hundred ten thousand, three hundred twenty-one".

Divisors: 1 3 13 39 169 507 108791 241333 326373 723999 1414283 3137329 4242849 9411987 18385679 40785277 55157037 122355831 26254858403 78764575209 341313159239 1023939477717 4437071070107 13311213210321