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13313333133 = 322373387743
BaseRepresentation
bin11000110011000100…
…10101011110001101
31021100211101101201100
430121202111132031
5204231203130013
610041022533313
7650626315212
oct143142253615
937324341640
1013313333133
115712036261
1226b6737239
13134228a519
1490420db09
1552dbe6473
hex31989578d

13313333133 has 24 divisors (see below), whose sum is σ = 20094077952. Its totient is φ = 8477983008.

The previous prime is 13313333123. The next prime is 13313333141. The reversal of 13313333133 is 33133331331.

13313333133 is a `hidden beast` number, since 1 + 3 + 313 + 33 + 313 + 3 = 666.

13313333133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13313333133 - 214 = 13313316749 is a prime.

It is a super-2 number, since 2×133133331332 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13313333097 and 13313333106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313333123) 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 23 ways as a sum of consecutive naturals, for example, 107860 + ... + 195602.

It is an arithmetic number, because the mean of its divisors is an integer number (837253248).

Almost surely, 213313333133 is an apocalyptic number.

It is an amenable number.

13313333133 is a deficient number, since it is larger than the sum of its proper divisors (6780744819).

13313333133 is a wasteful number, since it uses less digits than its factorization.

13313333133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88505 (or 88502 counting only the distinct ones).

The product of its digits is 6561, while the sum is 27.

Adding to 13313333133 its reverse (33133331331), we get a palindrome (46446664464).

The spelling of 13313333133 in words is "thirteen billion, three hundred thirteen million, three hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 23 69 207 733 2199 6597 16859 50577 87743 151731 263229 789687 2018089 6054267 18162801 64315619 192946857 578840571 1479259237 4437777711 13313333133