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13133012201320 = 2351122939260861
BaseRepresentation
bin1011111100011100010010…
…0001101110111101101000
31201111111121012102110022011
42333013010201232331220
53210132402110420240
643533120021405304
72523554166556654
oct277070441567550
951444535373264
1013133012201320
114203752013300
121581323269834
1374358c926c9b
143358d9591a64
1517b946b9e6ea
hexbf1c486ef68

13133012201320 has 96 divisors (see below), whose sum is σ = 32590640333160. Its totient is φ = 4759341171200.

The previous prime is 13133012201317. The next prime is 13133012201333. The reversal of 13133012201320 is 2310221033131.

It can be written as a sum of positive squares in 4 ways, for example, as 11813532674724 + 1319479526596 = 3437082^2 + 1148686^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13133012201291 and 13133012201300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3212311 + ... + 6048550.

Almost surely, 213133012201320 is an apocalyptic number.

13133012201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133012201320 is an abundant number, since it is smaller than the sum of its proper divisors (19457628131840).

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

13133012201320 is a wasteful number, since it uses less digits than its factorization.

13133012201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9261187 (or 9261172 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 13133012201320 its reverse (2310221033131), we get a palindrome (15443233234451).

The spelling of 13133012201320 in words is "thirteen trillion, one hundred thirty-three billion, twelve million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 293 440 484 586 605 968 1172 1210 1465 2344 2420 2930 3223 4840 5860 6446 11720 12892 16115 25784 32230 35453 64460 70906 128920 141812 177265 283624 354530 709060 1418120 9260861 18521722 37043444 46304305 74086888 92608610 101869471 185217220 203738942 370434440 407477884 509347355 814955768 1018694710 1120564181 2037389420 2241128362 2713432273 4074778840 4482256724 5426864546 5602820905 8964513448 10853729092 11205641810 13567161365 21707458184 22411283620 27134322730 29847755003 44822567240 54268645460 59695510006 108537290920 119391020012 149238775015 238782040024 298477550030 328325305033 596955100060 656650610066 1193910200120 1313301220132 1641626525165 2626602440264 3283253050330 6566506100660 13133012201320