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13131321301000 = 235372267986149
BaseRepresentation
bin1011111100010101111110…
…1111011101100000001000
31201111100020100200211010101
42333011133233131200020
53210120421223113000
643532240135455144
72523464245264300
oct277053757354010
951440210624111
1013131321301000
114202a645a5921
121580b30b274b4
13743380515556
143357b8b98600
1517b8984e6e6a
hexbf15fbdd808

13131321301000 has 96 divisors (see below), whose sum is σ = 35743992687000. Its totient is φ = 4502167286400.

The previous prime is 13131321300953. The next prime is 13131321301097. The reversal of 13131321301000 is 10312313131.

It can be written as a sum of positive squares in 4 ways, for example, as 5217688419076 + 7913632881924 = 2284226^2 + 2813118^2 .

It is a super-2 number, since 2×131313213010002 (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 23 ways as a sum of consecutive naturals, for example, 133944075 + ... + 134042074.

Almost surely, 213131321301000 is an apocalyptic number.

13131321301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13131321301000 is an abundant number, since it is smaller than the sum of its proper divisors (22612671386000).

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

13131321301000 is a wasteful number, since it uses less digits than its factorization.

13131321301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267986184 (or 267986163 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13131321301000 its reverse (10312313131), we get a palindrome (13141633614131).

The spelling of 13131321301000 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty-one million, three hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 267986149 535972298 1071944596 1339930745 1875903043 2143889192 2679861490 3751806086 5359722980 6699653725 7503612172 9379515215 10719445960 13131321301 13399307450 15007224344 18759030430 26262642602 26798614900 33498268625 37518060860 46897576075 52525285204 53597229800 65656606505 66996537250 75036121720 93795152150 105050570408 131313213010 133993074500 187590304300 234487880375 262626426020 267986149000 328283032525 375180608600 468975760750 525252852040 656566065050 937951521500 1313132130100 1641415162625 1875903043000 2626264260200 3282830325250 6565660650500 13131321301000