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13131313231020 = 22351743732943937
BaseRepresentation
bin1011111100010101111101…
…0000101011010010101100
31201111100012210111211012020
42333011133100223102230
53210120412141343040
643532235250510140
72523464116553535
oct277053720532254
951440183454166
1013131313231020
114202a5aa93816
121580b2a295350
1374337b94b30a
143357b7a9768c
1517b897950cd0
hexbf15f42b4ac

13131313231020 has 96 divisors (see below), whose sum is σ = 38939397271488. Its totient is φ = 3294947377152.

The previous prime is 13131313231009. The next prime is 13131313231033. The reversal of 13131313231020 is 2013231313131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2988492 + ... + 5932428.

It is an arithmetic number, because the mean of its divisors is an integer number (405618721578).

Almost surely, 213131313231020 is an apocalyptic number.

13131313231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131313231020 is an abundant number, since it is smaller than the sum of its proper divisors (25808084040468).

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

13131313231020 is a wasteful number, since it uses less digits than its factorization.

13131313231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948339 (or 2948337 counting only the distinct ones).

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

Adding to 13131313231020 its reverse (2013231313131), we get a palindrome (15144544544151).

The spelling of 13131313231020 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirteen million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 4373 8746 13119 17492 21865 26238 43730 52476 65595 74341 87460 131190 148682 223023 262380 297364 371705 446046 743410 892092 1115115 1486820 2230230 2943937 4460460 5887874 8831811 11775748 14719685 17663622 29439370 35327244 44159055 50046929 58878740 88318110 100093858 150140787 176636220 200187716 250234645 300281574 500469290 600563148 750703935 1000938580 1501407870 3002815740 12873836501 25747673002 38621509503 51495346004 64369182505 77243019006 128738365010 154486038012 193107547515 218855220517 257476730020 386215095030 437710441034 656565661551 772430190060 875420882068 1094276102585 1313131323102 2188552205170 2626262646204 3282828307755 4377104410340 6565656615510 13131313231020