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13313131232331 = 375322395342333
BaseRepresentation
bin1100000110111011010001…
…1101010011110001001011
31202010201112000011021101210
43001232310131103301023
53221110243043413311
644151545033344203
72542561542224160
oct301566435236113
952121460137353
1013313131232331
114273081565217
1215b0210868063
13757566116388
143405050d4067
15181489a6b3a6
hexc1bb4753c4b

13313131232331 has 32 divisors (see below), whose sum is σ = 20678679060480. Its totient is φ = 7460630745984.

The previous prime is 13313131232281. The next prime is 13313131232377. The reversal of 13313131232331 is 13323213131331.

It is not a de Polignac number, because 13313131232331 - 213 = 13313131224139 is a prime.

It is a super-2 number, since 2×133131312323312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13313131232831) 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 31 ways as a sum of consecutive naturals, for example, 179160 + ... + 5163173.

It is an arithmetic number, because the mean of its divisors is an integer number (646208720640).

Almost surely, 213313131232331 is an apocalyptic number.

13313131232331 is a deficient number, since it is larger than the sum of its proper divisors (7365547828149).

13313131232331 is a wasteful number, since it uses less digits than its factorization.

13313131232331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344635.

The product of its digits is 8748, while the sum is 30.

Adding to 13313131232331 its reverse (13323213131331), we get a palindrome (26636344363662).

The spelling of 13313131232331 in words is "thirteen trillion, three hundred thirteen billion, one hundred thirty-one million, two hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 53 159 371 1113 2239 6717 15673 47019 118667 356001 830669 2492007 5342333 16026999 37396331 112188993 283143649 849430947 1982005543 5946016629 11961483587 35884450761 83730385109 251191155327 633958630111 1901875890333 4437710410777 13313131232331