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13131000324330 = 2357229439621983
BaseRepresentation
bin1011111100010100110010…
…0111000010000011101010
31201111022101222201111220120
42333011030213002003222
53210114242040334310
643532144232104110
72523453300110250
oct277051447020352
951438358644816
1013131000324330
11420290a3a4349
121580a61535036
1374332bb81925
143357882c45d0
1517b87a242b70
hexbf14c9c20ea

13131000324330 has 128 divisors (see below), whose sum is σ = 36256193740800. Its totient is φ = 2981453301504.

The previous prime is 13131000324229. The next prime is 13131000324359. The reversal of 13131000324330 is 3342300013131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13131000324330.

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, 20800519 + ... + 21422501.

It is an arithmetic number, because the mean of its divisors is an integer number (283251513600).

Almost surely, 213131000324330 is an apocalyptic number.

13131000324330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13131000324330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18128096870400).

13131000324330 is an abundant number, since it is smaller than the sum of its proper divisors (23125193416470).

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

13131000324330 is a wasteful number, since it uses less digits than its factorization.

13131000324330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622668.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13131000324330 its reverse (3342300013131), we get a palindrome (16473300337461).

The spelling of 13131000324330 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 229 439 458 687 878 1145 1317 1374 1603 2195 2290 2634 3073 3206 3435 4390 4809 6146 6585 6870 8015 9219 9618 13170 15365 16030 18438 24045 30730 46095 48090 92190 100531 201062 301593 502655 603186 621983 703717 1005310 1243966 1407434 1507965 1865949 2111151 3015930 3109915 3518585 3731898 4222302 4353881 6219830 7037170 8707762 9329745 10555755 13061643 18659490 21111510 21769405 26123286 43538810 65308215 130616430 142434107 273050537 284868214 427302321 546101074 712170535 819151611 854604642 997038749 1365252685 1424341070 1638303222 1911353759 1994077498 2136511605 2730505370 2991116247 3822707518 4095758055 4273023210 4985193745 5734061277 5982232494 8191516110 9556768795 9970387490 11468122554 14955581235 19113537590 28670306385 29911162470 57340612770 62528572973 125057145946 187585718919 312642864865 375171437838 437700010811 625285729730 875400021622 937928594595 1313100032433 1875857189190 2188500054055 2626200064866 4377000108110 6565500162165 13131000324330