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13121201013 = 319415614549
BaseRepresentation
bin11000011100001010…
…11010001101110101
31020212102212001222220
430032011122031311
5203333011413023
610010000512553
7643104240234
oct141605321565
936772761886
1013121201013
115623637588
12266231b759
13131152948b
148c68b8b1b
1551bde33e3
hex30e15a375

13121201013 has 16 divisors (see below), whose sum is σ = 18864888000. Its totient is φ = 8084949120.

The previous prime is 13121201011. The next prime is 13121201047. The reversal of 13121201013 is 31010212131.

It is a happy number.

13121201013 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 13121201013 - 21 = 13121201011 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13121200983 and 13121201001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121201011) 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 15 ways as a sum of consecutive naturals, for example, 2804938 + ... + 2809611.

It is an arithmetic number, because the mean of its divisors is an integer number (1179055500).

Almost surely, 213121201013 is an apocalyptic number.

It is an amenable number.

13121201013 is a deficient number, since it is larger than the sum of its proper divisors (5743686987).

13121201013 is a wasteful number, since it uses less digits than its factorization.

13121201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5614612.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13121201013 its reverse (31010212131), we get a palindrome (44131413144).

The spelling of 13121201013 in words is "thirteen billion, one hundred twenty-one million, two hundred one thousand, thirteen".

Divisors: 1 3 19 41 57 123 779 2337 5614549 16843647 106676431 230196509 320029293 690589527 4373733671 13121201013