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13101312132320 = 255798291250297
BaseRepresentation
bin1011111010100110001100…
…0011100100010011100000
31201101110202222011002200112
42332221203003210103200
53204122441401213240
643510354255110452
72521352504460506
oct276514303442340
951343688132615
1013101312132320
1141a126516a275
121577156b12428
137405aa2900c9
1433416d444676
1517abddbab665
hexbea630e44e0

13101312132320 has 96 divisors (see below), whose sum is σ = 31381479561600. Its totient is φ = 5167943479296.

The previous prime is 13101312132319. The next prime is 13101312132331. The reversal of 13101312132320 is 2323121310131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9853412 + ... + 11103708.

It is an arithmetic number, because the mean of its divisors is an integer number (326890412100).

Almost surely, 213101312132320 is an apocalyptic number.

13101312132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101312132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15690739780800).

13101312132320 is an abundant number, since it is smaller than the sum of its proper divisors (18280167429280).

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

13101312132320 is a wasteful number, since it uses less digits than its factorization.

13101312132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251220 (or 1251212 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13101312132320 its reverse (2323121310131), we get a palindrome (15424433442451).

The spelling of 13101312132320 in words is "thirteen trillion, one hundred one billion, three hundred twelve million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 829 1264 1580 1658 2528 3160 3316 4145 6320 6632 8290 12640 13264 16580 26528 33160 65491 66320 130982 132640 261964 327455 523928 654910 1047856 1250297 1309820 2095712 2500594 2619640 5001188 5239280 6251485 10002376 10478560 12502970 20004752 25005940 40009504 50011880 98773463 100023760 197546926 200047520 395093852 493867315 790187704 987734630 1036496213 1580375408 1975469260 2072992426 3160750816 3950938520 4145984852 5182481065 7901877040 8291969704 10364962130 15803754080 16583939408 20729924260 33167878816 41459848520 81883200827 82919697040 163766401654 165839394080 327532803308 409416004135 655065606616 818832008270 1310131213232 1637664016540 2620262426464 3275328033080 6550656066160 13101312132320