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13331310421221 = 3313235927988903
BaseRepresentation
bin1100000111111111000000…
…0001011010010011100101
31202012110102221111202101000
43001333300001122103211
53221410010431434341
644204153000423513
72544104204615652
oct301776001322345
952173387452330
1013331310421221
11427a860205971
1215b3844a77b99
137591a24c5590
1434134b646c29
15181ba0a1c8b6
hexc1ff005a4e5

13331310421221 has 64 divisors (see below), whose sum is σ = 22570252185600. Its totient is φ = 7714189213632.

The previous prime is 13331310421217. The next prime is 13331310421249. The reversal of 13331310421221 is 12212401313331.

13331310421221 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 1 + 3 + 10 + 421 + 221 = 666.

It is not a de Polignac number, because 13331310421221 - 22 = 13331310421217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331310421721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13518145 + ... + 14470758.

It is an arithmetic number, because the mean of its divisors is an integer number (352660190400).

Almost surely, 213331310421221 is an apocalyptic number.

It is an amenable number.

13331310421221 is a deficient number, since it is larger than the sum of its proper divisors (9238941764379).

13331310421221 is a wasteful number, since it uses less digits than its factorization.

13331310421221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27989007 (or 27989001 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13331310421221 its reverse (12212401313331), we get a palindrome (25543711734552).

The spelling of 13331310421221 in words is "thirteen trillion, three hundred thirty-one billion, three hundred ten million, four hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 23 27 39 59 69 117 177 207 299 351 531 621 767 897 1357 1593 2301 2691 4071 6903 8073 12213 17641 20709 36639 52923 158769 476307 27988903 83966709 251900127 363855739 643744769 755700381 1091567217 1651345277 1931234307 3274701651 4954035831 5793702921 8368681997 9824104953 14862107493 17381108763 21467488601 25106045991 37980941371 44586322479 64402465803 75318137973 113942824113 193207397409 225954413919 341828472339 493752237823 579622192227 1025485417017 1481256713469 4443770140407 13331310421221