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13312013111010 = 23354110111906243
BaseRepresentation
bin1100000110110111000111…
…0100000000111011100010
31202010121122002012211022000
43001231301310000323202
53221101000324023020
644151242052224430
72542522044315225
oct301556164007342
952117562184260
1013312013111010
1142726583a3109
1215abb5a30b116
1375741858c423
1434043a7d95bc
15181421806090
hexc1b71d00ee2

13312013111010 has 128 divisors (see below), whose sum is σ = 36724571493120. Its totient is φ = 3428997696000.

The previous prime is 13312013110861. The next prime is 13312013111099. The reversal of 13312013111010 is 1011131021331.

13312013111010 is a `hidden beast` number, since 1 + 331 + 2 + 0 + 1 + 311 + 10 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4835052 + ... + 7071191.

It is an arithmetic number, because the mean of its divisors is an integer number (286910714790).

Almost surely, 213312013111010 is an apocalyptic number.

13312013111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13312013111010 is an abundant number, since it is smaller than the sum of its proper divisors (23412558382110).

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

13312013111010 is a wasteful number, since it uses less digits than its factorization.

13312013111010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11906401 (or 11906395 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 13312013111010 its reverse (1011131021331), we get a palindrome (14323144132341).

The spelling of 13312013111010 in words is "thirteen trillion, three hundred twelve billion, thirteen million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 101 123 135 202 205 246 270 303 369 410 505 606 615 738 909 1010 1107 1230 1515 1818 1845 2214 2727 3030 3690 4141 4545 5454 5535 8282 9090 11070 12423 13635 20705 24846 27270 37269 41410 62115 74538 111807 124230 186345 223614 372690 559035 1118070 11906243 23812486 35718729 59531215 71437458 107156187 119062430 178593645 214312374 321468561 357187290 488155963 535780935 642937122 976311926 1071561870 1202530543 1464467889 1607342805 2405061086 2440779815 2928935778 3214685610 3607591629 4393403667 4881559630 6012652715 7215183258 7322339445 8786807334 10822774887 12025305430 13180211001 14644678890 18037958145 21645549774 21967018335 26360422002 32468324661 36075916290 43934036670 49303752263 54113874435 64936649322 65901055005 98607504526 108227748870 131802110010 147911256789 162341623305 246518761315 295822513578 324683246610 443733770367 493037522630 739556283945 887467540734 1331201311101 1479112567890 2218668851835 2662402622202 4437337703670 6656006555505 13312013111010