213008103 has 64 divisors (see below), whose sum is σ = 407116800. Its totient is φ = 106807680.

The previous prime is 213008093. The next prime is 213008119. The reversal of 213008103 is 301800312.

It is not a de Polignac number, because 213008103 - 2⁵ = 213008071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213008123) 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 63 ways as a sum of consecutive naturals, for example, 58525 + ... + 62057.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^213008103 is an apocalyptic number.

213008103 is a deficient number, since it is larger than the sum of its proper divisors (194108697).

213008103 is a wasteful number, since it uses less digits than its factorization.

213008103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 213008103 is about 14594.7971208921. The cubic root of 213008103 is about 597.2168349487.

Adding to 213008103 its reverse (301800312), we get a palindrome (514808415).

It can be divided in two parts, 21300 and 8103, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 213008103 in words is "two hundred thirteen million, eight thousand, one hundred three".