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13321013222331 = 321754118437969
BaseRepresentation
bin1100000111011000101001…
…0000101101101110111011
31202011110212022111212000100
43001312022100231232323
53221222413341103311
644155331120010443
72543261061101643
oct301661220555673
952143768455010
1013321013222331
11427645675aa41
1215b1850460a23
1375822107b299
14340a51c3d523
1518179ba05a56
hexc1d8a42dbbb

13321013222331 has 12 divisors (see below), whose sum is σ = 19241575517320. Its totient is φ = 8880623801280.

The previous prime is 13321013222263. The next prime is 13321013222333. The reversal of 13321013222331 is 13322231012331.

13321013222331 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 0 + 1 + 322 + 2 + 331 = 666.

It is not a de Polignac number, because 13321013222331 - 27 = 13321013222203 is a prime.

It is a super-2 number, since 2×133210132223312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13321013222295 and 13321013222304.

It is not an unprimeable number, because it can be changed into a prime (13321013222333) 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 11 ways as a sum of consecutive naturals, for example, 2640286 + ... + 5797683.

Almost surely, 213321013222331 is an apocalyptic number.

13321013222331 is a deficient number, since it is larger than the sum of its proper divisors (5920562294989).

13321013222331 is a wasteful number, since it uses less digits than its factorization.

13321013222331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8613386 (or 8613383 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13321013222331 its reverse (13322231012331), we get a palindrome (26643244234662).

The spelling of 13321013222331 in words is "thirteen trillion, three hundred twenty-one billion, thirteen million, two hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 175411 526233 1578699 8437969 25313907 75941721 1480112580259 4440337740777 13321013222331