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13303003013 = 171295360413
BaseRepresentation
bin11000110001110101…
…11011011110000101
31021100002221120110022
430120322323132011
5204221032044023
610040013304525
7650442442226
oct143072733605
937302846408
1013303003013
115707220073
1226b3195145
1313400b1621
14902ac124d
1552cd557c8
hex318ebb785

13303003013 has 8 divisors (see below), whose sum is σ = 14086853208. Its totient is φ = 12519299584.

The previous prime is 13303002929. The next prime is 13303003039. The reversal of 13303003013 is 31030030331.

It can be written as a sum of positive squares in 4 ways, for example, as 3290399044 + 10012603969 = 57362^2 + 100063^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13303003013 - 210 = 13303001989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 13303002982 and 13303003000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303003073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189995 + ... + 250407.

It is an arithmetic number, because the mean of its divisors is an integer number (1760856651).

Almost surely, 213303003013 is an apocalyptic number.

It is an amenable number.

13303003013 is a deficient number, since it is larger than the sum of its proper divisors (783850195).

13303003013 is a wasteful number, since it uses less digits than its factorization.

13303003013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73383.

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 13303003013 its reverse (31030030331), we get a palindrome (44333033344).

The spelling of 13303003013 in words is "thirteen billion, three hundred three million, three thousand, thirteen".

Divisors: 1 17 12953 60413 220201 1027021 782529589 13303003013