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1310001231321 = 331014611042043
BaseRepresentation
bin10011000100000010001…
…010000111010111011001
311122020100020102122102000
4103010002022013113121
5132430340303400241
62441450052431213
7163434023512236
oct23040212072731
94566306378360
101310001231321
114656285a8322
12191a78918509
13966c01261b3
144759394c78d
1524121e77eb6
hex131022875d9

1310001231321 has 32 divisors (see below), whose sum is σ = 1964211258240. Its totient is φ = 862810776000.

The previous prime is 1310001231289. The next prime is 1310001231373. The reversal of 1310001231321 is 1231321000131.

1310001231321 is a `hidden beast` number, since 1 + 310 + 0 + 0 + 1 + 2 + 31 + 321 = 666.

It is not a de Polignac number, because 1310001231321 - 25 = 1310001231289 is a prime.

It is a super-2 number, since 2×13100012313212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1310001231294 and 1310001231303.

It is not an unprimeable number, because it can be changed into a prime (1310001231821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736126 + ... + 1778168.

It is an arithmetic number, because the mean of its divisors is an integer number (61381601820).

Almost surely, 21310001231321 is an apocalyptic number.

It is an amenable number.

1310001231321 is a deficient number, since it is larger than the sum of its proper divisors (654210026919).

1310001231321 is a wasteful number, since it uses less digits than its factorization.

1310001231321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042614 (or 1042608 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1310001231321 its reverse (1231321000131), we get a palindrome (2541322231452).

The spelling of 1310001231321 in words is "one trillion, three hundred ten billion, one million, two hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 101 303 461 909 1383 2727 4149 12447 46561 139683 419049 1042043 1257147 3126129 9378387 28135161 105246343 315739029 480381823 947217087 1441145469 2841651261 4323436407 12970309221 48518564123 145555692369 436667077107 1310001231321