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13121203331320 = 23571131237335249
BaseRepresentation
bin1011111011110000010010…
…1010011110000011111000
31201110101010012221201000121
42332330010222132003320
53204434211023100240
643523444140343024
72522655436045360
oct276740452360370
951411105851017
1013121203331320
1141a9742236507
12157ab88544a74
1374242a262346
143350d90c79a0
1517b4a50d504a
hexbef04a9e0f8

13121203331320 has 128 divisors (see below), whose sum is σ = 34066442160000. Its totient is φ = 4455268909056.

The previous prime is 13121203331293. The next prime is 13121203331359. The reversal of 13121203331320 is 2313330212131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38971056 + ... + 39306304.

It is an arithmetic number, because the mean of its divisors is an integer number (266144079375).

Almost surely, 213121203331320 is an apocalyptic number.

13121203331320 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 13121203331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17033221080000).

13121203331320 is an abundant number, since it is smaller than the sum of its proper divisors (20945238828680).

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

13121203331320 is a wasteful number, since it uses less digits than its factorization.

13121203331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336617 (or 336613 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13121203331320 its reverse (2313330212131), we get a palindrome (15434533543451).

The spelling of 13121203331320 in words is "thirteen trillion, one hundred twenty-one billion, two hundred three million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 452 565 791 904 1130 1237 1582 2260 2474 3164 3955 4520 4948 6185 6328 7910 8659 9896 12370 15820 17318 24740 31640 34636 43295 49480 69272 86590 139781 173180 279562 335249 346360 559124 670498 698905 978467 1118248 1340996 1397810 1676245 1956934 2346743 2681992 2795620 3352490 3913868 4693486 4892335 5591240 6704980 7827736 9386972 9784670 11733715 13409960 18773944 19569340 23467430 37883137 39138680 46934860 75766274 93869720 151532548 189415685 265181959 303065096 378831370 414703013 530363918 757662740 829406026 1060727836 1325909795 1515325480 1658812052 2073515065 2121455672 2651819590 2902921091 3317624104 4147030130 5303639180 5805842182 8294060260 10607278360 11611684364 14514605455 16588120520 23223368728 29029210910 46861440469 58058421820 93722880938 116116843640 187445761876 234307202345 328030083283 374891523752 468614404690 656060166566 937228809380 1312120333132 1640150416415 1874457618760 2624240666264 3280300832830 6560601665660 13121203331320