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13310021301132 = 22337859303711491
BaseRepresentation
bin1100000110101111101100…
…0101110111001110001100
31202010102111021021101210210
43001223323011313032030
53221032410423114012
644150312301002420
72542421510234313
oct301537305671614
952112437241723
1013310021301132
11427182603a946
1215ab6a3253410
1375718ba21bba
143402cc07327a
15181356a1023c
hexc1afb17738c

13310021301132 has 96 divisors (see below), whose sum is σ = 31946513347840. Its totient is φ = 4309943489280.

The previous prime is 13310021301113. The next prime is 13310021301191. The reversal of 13310021301132 is 23110312001331.

It is a happy number.

It is a super-3 number, since 3×133100213011323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13310021301099 and 13310021301108.

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, 1158293907 + ... + 1158305397.

Almost surely, 213310021301132 is an apocalyptic number.

13310021301132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13310021301132 is an abundant number, since it is smaller than the sum of its proper divisors (18636492046708).

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

13310021301132 is a wasteful number, since it uses less digits than its factorization.

13310021301132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15431 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13310021301132 its reverse (23110312001331), we get a palindrome (36420333302463).

It can be divided in two parts, 13310021 and 301132, that added together give a triangular number (13611153 = T5217).

The spelling of 13310021301132 in words is "thirteen trillion, three hundred ten billion, twenty-one million, three hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 859 1718 2577 3037 3436 5154 6074 9111 10308 11491 12148 18222 22982 31783 34473 36444 45964 63566 68946 95349 112369 127132 137892 190698 224738 337107 381396 425167 449476 674214 850334 1275501 1348428 1700668 2551002 2608783 5102004 5217566 7826349 9870769 10435132 15652698 19741538 29612307 31305396 34898167 39483076 59224614 69796334 96524971 104694501 118449228 139592668 193049942 209389002 289574913 365218453 386099884 418778004 579149826 730436906 1095655359 1158299652 1291232179 1460873812 2191310718 2582464358 3873696537 4382621436 5164928716 7747393074 15494786148 29977525453 59955050906 89932576359 119910101812 179865152718 359730305436 1109168441761 2218336883522 3327505325283 4436673767044 6655010650566 13310021301132