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13321411311 = 313241640853
BaseRepresentation
bin11000110100000010…
…01001101011101111
31021101101120210220010
430122001021223233
5204240240130221
610041512024303
7651055061565
oct143201115357
937341523803
1013321411311
11571665353a
1226b9392093
131343b58400
14905313a35
1552e78ec76
hex31a049aef

13321411311 has 24 divisors (see below), whose sum is σ = 19702415376. Its totient is φ = 7997832960.

The previous prime is 13321411307. The next prime is 13321411321. The reversal of 13321411311 is 11311412331.

13321411311 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 13321411311 - 22 = 13321411307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321411321) 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, 299640 + ... + 341213.

It is an arithmetic number, because the mean of its divisors is an integer number (820933974).

Almost surely, 213321411311 is an apocalyptic number.

13321411311 is a deficient number, since it is larger than the sum of its proper divisors (6381004065).

13321411311 is a wasteful number, since it uses less digits than its factorization.

13321411311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640923 (or 640910 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 13321411311 its reverse (11311412331), we get a palindrome (24632823642).

The spelling of 13321411311 in words is "thirteen billion, three hundred twenty-one million, four hundred eleven thousand, three hundred eleven".

Divisors: 1 3 13 39 41 123 169 507 533 1599 6929 20787 640853 1922559 8331089 24993267 26274973 78824919 108304157 324912471 341574649 1024723947 4440470437 13321411311