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13301114214321 = 32191036539411229
BaseRepresentation
bin1100000110001110100000…
…1100000001011110110001
31202002120111112000111201200
43001203220030001132301
53220411140214324241
644142240355121413
72541655003241223
oct301435014013661
952076445014650
1013301114214321
114268a7523a77a
1215a9a182a3269
1375639c5a382b
1433dac5126413
15180ed4a884b6
hexc18e83017b1

13301114214321 has 96 divisors (see below), whose sum is σ = 20489928825600. Its totient is φ = 8290824906240.

The previous prime is 13301114214319. The next prime is 13301114214337. The reversal of 13301114214321 is 12341241110331.

13301114214321 is a `hidden beast` number, since 1 + 3 + 301 + 1 + 14 + 21 + 4 + 321 = 666.

It is not a de Polignac number, because 13301114214321 - 21 = 13301114214319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13301114214391) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10822712335 + ... + 10822713563.

It is an arithmetic number, because the mean of its divisors is an integer number (213436758600).

Almost surely, 213301114214321 is an apocalyptic number.

It is an amenable number.

13301114214321 is a deficient number, since it is larger than the sum of its proper divisors (7188814611279).

13301114214321 is a wasteful number, since it uses less digits than its factorization.

13301114214321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2951 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 13301114214321 its reverse (12341241110331), we get a palindrome (25642355324652).

The spelling of 13301114214321 in words is "thirteen trillion, three hundred one billion, one hundred fourteen million, two hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 19 57 103 171 309 653 927 941 1229 1957 1959 2823 3687 5871 5877 8469 11061 12407 17613 17879 23351 37221 53637 67259 70053 96923 111663 126587 160911 201777 210159 290769 379761 605331 614473 802537 872307 1139283 1156489 1277921 1841537 1843419 2405153 2407611 3469467 3833763 5524611 5530257 7215459 7222833 10408401 11501289 11674987 15248203 16573833 21646377 21973291 35024961 45744609 63290719 65919873 82661311 105074883 119118367 137233827 189872157 197759619 247983933 357355101 569616471 743951799 755187317 1072065303 1202523661 1570564909 2263248973 2265561951 3607570983 4711694727 6789746919 6796685853 10822712949 14135084181 14348559023 20369240757 43045677069 77784293651 129137031207 233352880953 700058642859 1477901579369 4433704738107 13301114214321