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13213301013120 = 273513529379047
BaseRepresentation
bin1100000001000111011000…
…0111001111101010000000
31201210011211122222200121110
43000101312013033222000
53212441320024404440
644034035013323320
72532425626322325
oct300216607175200
951704748880543
1013213301013120
114234802a51a1a
1215949ab936540
1374b016840250
1433975482ab4c
1517da956bc080
hexc04761cfa80

13213301013120 has 128 divisors (see below), whose sum is σ = 45357196832640. Its totient is φ = 3252504858624.

The previous prime is 13213301013109. The next prime is 13213301013191. The reversal of 13213301013120 is 2131010331231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264664564 + ... + 264714483.

It is an arithmetic number, because the mean of its divisors is an integer number (354353100255).

Almost surely, 213213301013120 is an apocalyptic number.

13213301013120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213301013120 is an abundant number, since it is smaller than the sum of its proper divisors (32143895819520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13213301013120 is a wasteful number, since it uses less digits than its factorization.

13213301013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529379082 (or 529379070 counting only the distinct ones).

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

Adding to 13213301013120 its reverse (2131010331231), we get a palindrome (15344311344351).

The spelling of 13213301013120 in words is "thirteen trillion, two hundred thirteen billion, three hundred one million, thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 529379047 1058758094 1588137141 2117516188 2646895235 3176274282 4235032376 5293790470 6352548564 6881927611 7940685705 8470064752 10587580940 12705097128 13763855222 15881371410 16940129504 20645782833 21175161880 25410194256 27527710444 31762742820 33880259008 34409638055 41291565666 42350323760 50820388512 55055420888 63525485640 67760518016 68819276110 82583131332 84700647520 101640777024 103228914165 110110841776 127050971280 137638552220 165166262664 169401295040 203281554048 206457828330 220221683552 254101942560 275277104440 330332525328 338802590080 412915656660 440443367104 508203885120 550554208880 660665050656 825831313320 880886734208 1016407770240 1101108417760 1321330101312 1651662626640 2202216835520 2642660202624 3303325253280 4404433671040 6606650506560 13213301013120