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13131130023 = 3311291524571
BaseRepresentation
bin11000011101010110…
…10010010010100111
31020220010112112001000
430032223102102213
5203343032130043
610010553404343
7643254522624
oct141653222247
936803475030
1013131130023
1156291a9380
1226657096b3
1313135c492b
148c7d4134b
1551cc052d3
hex30ead24a7

13131130023 has 32 divisors (see below), whose sum is σ = 21953836800. Its totient is φ = 7683832800.

The previous prime is 13131129959. The next prime is 13131130037. The reversal of 13131130023 is 32003113131.

It is a happy number.

13131130023 is a `hidden beast` number, since 1 + 31 + 311 + 300 + 23 = 666.

13131130023 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 13131130023 - 26 = 13131129959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13131129978 and 13131130005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131130073) 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, 753673 + ... + 770898.

It is an arithmetic number, because the mean of its divisors is an integer number (686057400).

Almost surely, 213131130023 is an apocalyptic number.

13131130023 is a deficient number, since it is larger than the sum of its proper divisors (8822706777).

13131130023 is a wasteful number, since it uses less digits than its factorization.

13131130023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524620 (or 1524614 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13131130023 its reverse (32003113131), we get a palindrome (45134243154).

The spelling of 13131130023 in words is "thirteen billion, one hundred thirty-one million, one hundred thirty thousand, twenty-three".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 957 2871 8613 1524571 4573713 13721139 16770281 41163417 44212559 50310843 132637677 150932529 397913031 452797587 486338149 1193739093 1459014447 4377043341 13131130023