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13131310011000 = 2335326321166297
BaseRepresentation
bin1011111100010101111100…
…0100011001001001111000
31201111100012120110020011020
42333011133010121021320
53210120410330323000
643532235053502440
72523464050312656
oct277053704311170
951440176406136
1013131310011000
114202a59194545
121580b291a1a20
1374337b09178c
143357b7499dd6
1517b897516ba0
hexbf15f119278

13131310011000 has 128 divisors (see below), whose sum is σ = 40971490148160. Its totient is φ = 3501528576000.

The previous prime is 13131310010981. The next prime is 13131310011023. The reversal of 13131310011000 is 11001313131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78879852 + ... + 79046148.

Almost surely, 213131310011000 is an apocalyptic number.

13131310011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131310011000 is an abundant number, since it is smaller than the sum of its proper divisors (27840180137160).

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

13131310011000 is a wasteful number, since it uses less digits than its factorization.

13131310011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192642 (or 192628 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 13131310011000 its reverse (11001313131), we get a palindrome (13142311324131).

The spelling of 13131310011000 in words is "thirteen trillion, one hundred thirty-one billion, three hundred ten million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 26321 52642 78963 105284 131605 157926 166297 210568 263210 315852 332594 394815 498891 526420 631704 658025 665188 789630 831485 997782 1052840 1316050 1330376 1579260 1662970 1974075 1995564 2494455 2632100 3158520 3290125 3325940 3948150 3991128 4157425 4988910 5264200 6580250 6651880 7896300 8314850 9870375 9977820 12472275 13160500 15792600 16629700 19740750 19955640 20787125 24944550 26321000 33259400 39481500 41574250 49889100 62361375 78963000 83148500 99778200 124722750 166297000 249445500 498891000 4377103337 8754206674 13131310011 17508413348 21885516685 26262620022 35016826696 43771033370 52525240044 65656550055 87542066740 105050480088 109427583425 131313100110 175084133480 218855166850 262626200220 328282750275 437710333700 525252400440 547137917125 656565500550 875420667400 1094275834250 1313131001100 1641413751375 2188551668500 2626262002200 3282827502750 4377103337000 6565655005500 13131310011000