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13320123201333 = 3213113847206849
BaseRepresentation
bin1100000111010101010100…
…1101100011011100110101
31202011101120021210002201200
43001311111031203130311
53221214103014420313
644155102523443113
72543230033044354
oct301652515433465
952141507702650
1013320123201333
11427603a323aa3
1215b1642386499
1375810b869a40
143409a995d99b
151817487eab73
hexc1d55363735

13320123201333 has 12 divisors (see below), whose sum is σ = 20720191646700. Its totient is φ = 8196998893056.

The previous prime is 13320123201293. The next prime is 13320123201389. The reversal of 13320123201333 is 33310232102331.

13320123201333 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 1 + 2 + 320 + 1 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4679010262404 + 8641112938929 = 2163102^2 + 2939577^2 .

It is not a de Polignac number, because 13320123201333 - 210 = 13320123200309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13320123201297 and 13320123201306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320123201433) 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, 56923603308 + ... + 56923603541.

It is an arithmetic number, because the mean of its divisors is an integer number (1726682637225).

Almost surely, 213320123201333 is an apocalyptic number.

13320123201333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13320123201333 is a deficient number, since it is larger than the sum of its proper divisors (7400068445367).

13320123201333 is a wasteful number, since it uses less digits than its factorization.

13320123201333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113847206868 (or 113847206865 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13320123201333 its reverse (33310232102331), we get a palindrome (46630355303664).

The spelling of 13320123201333 in words is "thirteen trillion, three hundred twenty billion, one hundred twenty-three million, two hundred one thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 117 113847206849 341541620547 1024624861641 1480013689037 4440041067111 13320123201333