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13311133329 = 3133539471021
BaseRepresentation
bin11000110010110011…
…11100011010010001
31021100200020122011010
430121121330122101
5204230122231304
610040503441133
7650601523614
oct143131743221
937320218133
1013311133329
11571087353a
1226b5a561a9
13134199a170
14903bda17b
1552d90e789
hex31967c691

13311133329 has 32 divisors (see below), whose sum is σ = 19206601344. Its totient is φ = 8151644160.

The previous prime is 13311133279. The next prime is 13311133333. The reversal of 13311133329 is 92333111331.

13311133329 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 13311133329 - 27 = 13311133201 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13311133296 and 13311133305.

It is not an unprimeable number, because it can be changed into a prime (13311173329) 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, 13036839 + ... + 13037859.

It is an arithmetic number, because the mean of its divisors is an integer number (600206292).

Almost surely, 213311133329 is an apocalyptic number.

It is an amenable number.

13311133329 is a deficient number, since it is larger than the sum of its proper divisors (5895468015).

13311133329 is a wasteful number, since it uses less digits than its factorization.

13311133329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337.

The product of its digits is 4374, while the sum is 30.

The spelling of 13311133329 in words is "thirteen billion, three hundred eleven million, one hundred thirty-three thousand, three hundred twenty-nine".

Divisors: 1 3 13 39 353 947 1021 1059 2841 3063 4589 12311 13273 13767 36933 39819 334291 360413 966887 1002873 1081239 2900661 4345783 4685369 12569531 13037349 14056107 37708593 341311111 1023933333 4437044443 13311133329