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13110131331 = 3211793316693
BaseRepresentation
bin11000011010110110…
…01011101010000011
31020211200000200020200
430031123023222003
5203322143200311
610004523340243
7642611164143
oct141533135203
936750020220
1013110131331
115618366790
12265a681683
13130c151a7b
148c5236923
1551ae58556
hex30d6cba83

13110131331 has 24 divisors (see below), whose sum is σ = 20662230576. Its totient is φ = 7944056640.

The previous prime is 13110131323. The next prime is 13110131459. The reversal of 13110131331 is 13313101131.

13110131331 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 13110131331 - 23 = 13110131323 is a prime.

It is a super-2 number, since 2×131101313312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13110131131) 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, 777021 + ... + 793713.

It is an arithmetic number, because the mean of its divisors is an integer number (860926274).

Almost surely, 213110131331 is an apocalyptic number.

13110131331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13110131331 is a deficient number, since it is larger than the sum of its proper divisors (7552099245).

13110131331 is a wasteful number, since it uses less digits than its factorization.

13110131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24643 (or 24640 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13110131331 its reverse (13313101131), we get a palindrome (26423232462).

It can be divided in two parts, 13110 and 131331, that added together give a palindrome (144441).

The spelling of 13110131331 in words is "thirteen billion, one hundred ten million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 7933 16693 23799 50079 71397 87263 150237 183623 261789 550869 785367 1652607 132425569 397276707 1191830121 1456681259 4370043777 13110131331