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1313302213020 = 2235722083214451
BaseRepresentation
bin10011000111000110111…
…010010111000110011100
311122112212021210220000110
4103013012322113012130
5133004120331304040
62443153412130020
7163611565423500
oct23070672270634
94575767726013
101313302213020
11466a71952776
1219263a306910
1396ac7c902c5
14477c8102300
1524266b71980
hex131c6e9719c

1313302213020 has 144 divisors (see below), whose sum is σ = 4279686461568. Its totient is φ = 300037852800.

The previous prime is 1313302212979. The next prime is 1313302213039. The reversal of 1313302213020 is 203122033131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6016795 + ... + 6231245.

It is an arithmetic number, because the mean of its divisors is an integer number (29720044872).

Almost surely, 21313302213020 is an apocalyptic number.

1313302213020 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 1313302213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139843230784).

1313302213020 is an abundant number, since it is smaller than the sum of its proper divisors (2966384248548).

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

1313302213020 is a wasteful number, since it uses less digits than its factorization.

1313302213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216560 (or 216551 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1313302213020 its reverse (203122033131), we get a palindrome (1516424246151).

The spelling of 1313302213020 in words is "one trillion, three hundred thirteen billion, three hundred two million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2083 2940 4166 6249 8332 10415 12498 14581 20830 24996 29162 31245 41660 43743 58324 62490 72905 87486 102067 124980 145810 174972 204134 214451 218715 291620 306201 408268 428902 437430 510335 612402 643353 857804 874860 1020670 1072255 1224804 1286706 1501157 1531005 2041340 2144510 2573412 3002314 3062010 3216765 4289020 4503471 6004628 6124020 6433530 7505785 9006942 10508099 12867060 15011570 18013884 21016198 22517355 30023140 31524297 42032396 45034710 52540495 63048594 90069420 105080990 126097188 157621485 210161980 315242970 446701433 630485940 893402866 1340104299 1786805732 2233507165 2680208598 3126910031 4467014330 5360417196 6253820062 6700521495 8934028660 9380730093 12507640124 13401042990 15634550155 18761460186 21888370217 26802085980 31269100310 37522920372 43776740434 46903650465 62538200620 65665110651 87553480868 93807300930 109441851085 131330221302 187614601860 218883702170 262660442604 328325553255 437767404340 656651106510 1313302213020