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1313103110133 = 3192331432632857
BaseRepresentation
bin10011000110111011000…
…010110101111111110101
311122112100102011102012110
4103012323002311333311
5133003213344011013
62443121540441233
7163603630163553
oct23067302657765
94575312142173
101313103110133
1146697a522831
121925a36a9219
1396a9595b449
14477a98b4bd3
15242544432c3
hex131bb0b5ff5

1313103110133 has 128 divisors (see below), whose sum is σ = 2039717560320. Its totient is φ = 746715594240.

The previous prime is 1313103110129. The next prime is 1313103110153. The reversal of 1313103110133 is 3310113013131.

It is not a de Polignac number, because 1313103110133 - 22 = 1313103110129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313103110153) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 459607641 + ... + 459610497.

It is an arithmetic number, because the mean of its divisors is an integer number (15935293440).

Almost surely, 21313103110133 is an apocalyptic number.

It is an amenable number.

1313103110133 is a deficient number, since it is larger than the sum of its proper divisors (726614450187).

1313103110133 is a wasteful number, since it uses less digits than its factorization.

1313103110133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 1313103110133 its reverse (3310113013131), we get a palindrome (4623216123264).

The spelling of 1313103110133 in words is "one trillion, three hundred thirteen billion, one hundred three million, one hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 19 23 31 43 57 69 93 129 263 437 589 713 789 817 989 1311 1333 1767 2139 2451 2857 2967 3999 4997 6049 8153 8571 11309 13547 14991 18147 18791 24459 25327 30659 33927 40641 54283 56373 65711 75981 88567 91977 114931 122851 154907 162849 187519 197133 214871 260107 265701 344793 350579 368553 464721 562557 582521 644613 751391 780321 1051737 1248509 1682773 1747563 2037041 2254173 2334169 2825573 3562861 3745527 3808381 4942033 5048319 6111123 6661001 7002507 8063317 8476719 10688583 11425143 14276429 14826099 17281993 19983003 23293121 24189951 32309813 38703779 42829287 51845979 53685887 69879363 72359239 87592763 96929439 116111337 153203023 161057661 217077717 262778289 328357867 442569299 459609069 535741783 613886447 743125699 985073601 1001604203 1327707897 1607225349 1664262497 1841659341 2229377097 3004812609 4992787491 10179093877 14119388281 19030479857 23036896669 30537281631 42358164843 57091439571 69110690007 437701036711 1313103110133