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13132133213100 = 223521117234084371
BaseRepresentation
bin1011111100011001000000…
…1000101010001110101100
31201111102022221110020010220
42333012100020222032230
53210124102100304400
643532452501531340
72523523334363046
oct277062010521654
951442287406126
1013132133213100
114203340932460
121581118a13b50
1374347c7a9405
14335854944a96
1517b8e49237a0
hexbf19022a3ac

13132133213100 has 144 divisors (see below), whose sum is σ = 43888010737536. Its totient is φ = 2996279936000.

The previous prime is 13132133213071. The next prime is 13132133213119. The reversal of 13132133213100 is 131233123131.

It is a super-2 number, since 2×131321332131002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116986086 + ... + 117098285.

It is an arithmetic number, because the mean of its divisors is an integer number (304777852344).

Almost surely, 213132133213100 is an apocalyptic number.

13132133213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13132133213100 is an abundant number, since it is smaller than the sum of its proper divisors (30755877524436).

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

13132133213100 is a wasteful number, since it uses less digits than its factorization.

13132133213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234084416 (or 234084409 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13132133213100 its reverse (131233123131), we get a palindrome (13263366336231).

The spelling of 13132133213100 in words is "thirteen trillion, one hundred thirty-two billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 25 30 33 34 44 50 51 55 60 66 68 75 85 100 102 110 132 150 165 170 187 204 220 255 275 300 330 340 374 425 510 550 561 660 748 825 850 935 1020 1100 1122 1275 1650 1700 1870 2244 2550 2805 3300 3740 4675 5100 5610 9350 11220 14025 18700 28050 56100 234084371 468168742 702253113 936337484 1170421855 1404506226 2340843710 2574928081 2809012452 3511265565 3979434307 4681687420 5149856162 5852109275 7022531130 7724784243 7958868614 10299712324 11704218550 11938302921 12874640405 14045062260 15449568486 15917737228 17556327825 19897171535 23408437100 23876605842 25749280810 30899136972 35112655650 38623921215 39794343070 43773777377 47753211684 51498561620 59691514605 64373202025 70225311300 77247842430 79588686140 87547554754 99485857675 119383029210 128746404050 131321332131 154495684860 175095109508 193119606075 198971715350 218868886885 238766058420 257492808100 262642664262 298457573025 386239212150 397943430700 437737773770 525285328524 596915146050 656606660655 772478424300 875475547540 1094344434425 1193830292100 1313213321310 2188688868850 2626426642620 3283033303275 4377377737700 6566066606550 13132133213100