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13133101103040 = 263588715423127
BaseRepresentation
bin1011111100011100100111…
…0100110111011111000000
31201111111211101201010112110
42333013021310313133000
53210133042340244130
643533132515055320
72523556326326442
oct277071164673700
951444741633473
1013133101103040
1142037982144a6
121581348ba1540
137435a5183059
143359072d4492
1517b94e8b0ab0
hexbf1c9d377c0

13133101103040 has 112 divisors (see below), whose sum is σ = 41744608399872. Its totient is φ = 3498211746816.

The previous prime is 13133101103011. The next prime is 13133101103113. The reversal of 13133101103040 is 4030110133131.

It is a junction number, because it is equal to n+sod(n) for n = 13133101102998 and 13133101103016.

It is a congruent number.

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, 6860044 + ... + 8563083.

It is an arithmetic number, because the mean of its divisors is an integer number (372719717856).

Almost surely, 213133101103040 is an apocalyptic number.

13133101103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133101103040 is an abundant number, since it is smaller than the sum of its proper divisors (28611507296832).

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

13133101103040 is a wasteful number, since it uses less digits than its factorization.

13133101103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15424034 (or 15424024 counting only the distinct ones).

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

Adding to 13133101103040 its reverse (4030110133131), we get a palindrome (17163211236171).

The spelling of 13133101103040 in words is "thirteen trillion, one hundred thirty-three billion, one hundred one million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 887 960 1774 2661 3548 4435 5322 7096 8870 10644 13305 14192 17740 21288 26610 28384 35480 42576 53220 56768 70960 85152 106440 141920 170304 212880 283840 425760 851520 15423127 30846254 46269381 61692508 77115635 92538762 123385016 154231270 185077524 231346905 246770032 308462540 370155048 462693810 493540064 616925080 740310096 925387620 987080128 1233850160 1480620192 1850775240 2467700320 2961240384 3701550480 4935400640 7403100960 13680313649 14806201920 27360627298 41040940947 54721254596 68401568245 82081881894 109442509192 136803136490 164163763788 205204704735 218885018384 273606272980 328327527576 410409409470 437770036768 547212545960 656655055152 820818818940 875540073536 1094425091920 1313310110304 1641637637880 2188850183840 2626620220608 3283275275760 4377700367680 6566550551520 13133101103040