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13131320310020 = 22511194691669679
BaseRepresentation
bin1011111100010101111110…
…1011101011100100000100
31201111100020021211110202102
42333011133223223210010
53210120420444410040
643532240102331232
72523464233666163
oct277053753534404
951440207743672
1013131320310020
114202a63a89330
121580b30729b18
13743380259483
143357b89bb3da
1517b89839d515
hexbf15faeb904

13131320310020 has 96 divisors (see below), whose sum is σ = 31672756684800. Its totient is φ = 4522737340800.

The previous prime is 13131320310019. The next prime is 13131320310047. The reversal of 13131320310020 is 2001302313131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13131320309974 and 13131320310001.

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, 19273541 + ... + 19943219.

It is an arithmetic number, because the mean of its divisors is an integer number (329924548800).

Almost surely, 213131320310020 is an apocalyptic number.

13131320310020 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 13131320310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836378342400).

13131320310020 is an abundant number, since it is smaller than the sum of its proper divisors (18541436374780).

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

13131320310020 is a wasteful number, since it uses less digits than its factorization.

13131320310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674409 (or 674407 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13131320310020 its reverse (2001302313131), we get a palindrome (15132622623151).

The spelling of 13131320310020 in words is "thirteen trillion, one hundred thirty-one billion, three hundred twenty million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 4180 4691 9382 18764 23455 46910 51601 89129 93820 103202 178258 206404 258005 356516 445645 516010 669679 891290 980419 1032020 1339358 1782580 1960838 2678716 3348395 3921676 4902095 6696790 7366469 9804190 12723901 13393580 14732938 19608380 25447802 29465876 36832345 50895604 63619505 73664690 127239010 139962911 147329380 254478020 279925822 559851644 699814555 1399629110 2799258220 3141464189 6282928378 12565856756 15707320945 31414641890 34556106079 59687819591 62829283780 69112212158 119375639182 138224424316 172780530395 238751278364 298439097955 345561060790 596878195910 656566015501 691122121580 1193756391820 1313132031002 2626264062004 3282830077505 6565660155010 13131320310020