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1313201223320 = 235747103968809
BaseRepresentation
bin10011000111000000111…
…001000111011010011000
311122112121020210002012012
4103013000321013122120
5133003414003121240
62443135403405052
7163606231140050
oct23070071073230
94575536702165
101313201223320
11466a1a945708
12192610523788
1396ab009119c
14477b8934560
152425cd73b65
hex131c0e47698

1313201223320 has 128 divisors (see below), whose sum is σ = 3482135654400. Its totient is φ = 436382125056.

The previous prime is 1313201223317. The next prime is 1313201223331. The reversal of 1313201223320 is 233221023131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871076 + ... + 1839884.

It is an arithmetic number, because the mean of its divisors is an integer number (27204184800).

Almost surely, 21313201223320 is an apocalyptic number.

1313201223320 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 1313201223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741067827200).

1313201223320 is an abundant number, since it is smaller than the sum of its proper divisors (2168934431080).

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

1313201223320 is a wasteful number, since it uses less digits than its factorization.

1313201223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968977 (or 968973 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1313201223320 its reverse (233221023131), we get a palindrome (1546422246451).

The spelling of 1313201223320 in words is "one trillion, three hundred thirteen billion, two hundred one million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 103 140 188 206 235 280 329 376 412 470 515 658 721 824 940 1030 1316 1442 1645 1880 2060 2632 2884 3290 3605 4120 4841 5768 6580 7210 9682 13160 14420 19364 24205 28840 33887 38728 48410 67774 96820 135548 169435 193640 271096 338870 677740 968809 1355480 1937618 3875236 4844045 6781663 7750472 9688090 13563326 19376180 27126652 33908315 38752360 45534023 54253304 67816630 91068046 99787327 135633260 182136092 199574654 227670115 271266520 318738161 364272184 399149308 455340230 498936635 637476322 698511289 798298616 910680460 997873270 1274952644 1397022578 1593690805 1821360920 1995746540 2549905288 2794045156 3187381610 3492556445 3991493080 4690004369 5588090312 6374763220 6985112890 9380008738 12749526440 13970225780 18760017476 23450021845 27940451560 32830030583 37520034952 46900043690 65660061166 93800087380 131320122332 164150152915 187600174760 262640244664 328300305830 656600611660 1313201223320