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13323103132031 = 7211172791082659
BaseRepresentation
bin1100000111100000011011…
…0101000101100101111111
31202011200020222001021011022
43001320012311011211333
53221241203400211111
644200314334014355
72543363626042100
oct301700665054577
952150228037138
1013323103132031
114277329427040
1215b21343473bb
13758495045444
14340bad6203a7
151818702282db
hexc1e06d4597f

13323103132031 has 72 divisors (see below), whose sum is σ = 18187648646400. Its totient is φ = 9647262293760.

The previous prime is 13323103131937. The next prime is 13323103132067. The reversal of 13323103132031 is 13023130132331.

It is not a de Polignac number, because 13323103132031 - 230 = 13322029390207 is a prime.

It is a super-2 number, since 2×133231031320312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323103132231) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 11764580 + ... + 12847238.

It is an arithmetic number, because the mean of its divisors is an integer number (252606231200).

Almost surely, 213323103132031 is an apocalyptic number.

13323103132031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13323103132031 is a deficient number, since it is larger than the sum of its proper divisors (4864545514369).

13323103132031 is a wasteful number, since it uses less digits than its factorization.

13323103132031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082797 (or 1082773 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 13323103132031 its reverse (13023130132331), we get a palindrome (26346233264362).

The spelling of 13323103132031 in words is "thirteen trillion, three hundred twenty-three billion, one hundred three million, one hundred thirty-two thousand, thirty-one".

Divisors: 1 7 11 17 49 77 79 119 187 289 539 553 833 869 1309 1343 2023 3179 3871 6083 9163 9401 14161 14773 22253 22831 42581 65807 103411 155771 159817 251141 723877 1082659 1118719 1757987 7578613 11909249 12305909 18405203 53050291 83364743 85530061 128836421 202457233 312888451 583553201 598710427 901854947 940830671 1417200631 1454011037 2190219157 3441772961 4190972989 6585814697 9920404417 10178077259 15331534099 15994121407 24092410727 24718187629 46100702879 71246540813 111958849849 168646875089 173027313403 271900063919 783711948943 1211191193821 1903300447433 13323103132031