13000133003 has 16 divisors (see below), whose sum is σ = 15277065216. Its totient is φ = 10906215840.

The previous prime is 13000132991. The next prime is 13000133009. The reversal of 13000133003 is 30033100031.

13000133003 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 13000133003 - 2¹⁰ = 13000131979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13000133009) 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, 625700 + ... + 646142.

It is an arithmetic number, because the mean of its divisors is an integer number (954816576).

Almost surely, 2^13000133003 is an apocalyptic number.

13000133003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13000133003 is a deficient number, since it is larger than the sum of its proper divisors (2276932213).

13000133003 is a wasteful number, since it uses less digits than its factorization.

13000133003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24914.

The product of its (nonzero) digits is 81, while the sum is 14.

Adding to 13000133003 its reverse (30033100031), we get a palindrome (43033233034).

The spelling of 13000133003 in words is "thirteen billion, one hundred thirty-three thousand, three".