4234100013 has 64 divisors (see below), whose sum is σ = 7494681600. Its totient is φ = 2328454080.

The previous prime is 4234099979. The next prime is 4234100047. The reversal of 4234100013 is 3100014324.

It is an interprime number because it is at equal distance from previous prime (4234099979) and next prime (4234100047).

It is not a de Polignac number, because 4234100013 - 2¹⁰ = 4234098989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4234101013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 218506 + ... + 237092.

It is an arithmetic number, because the mean of its divisors is an integer number (117104400).

Almost surely, 2^4234100013 is an apocalyptic number.

It is an amenable number.

4234100013 is a deficient number, since it is larger than the sum of its proper divisors (3260581587).

4234100013 is a wasteful number, since it uses less digits than its factorization.

4234100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18679 (or 18673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4234100013 is about 65069.9624481219. The cubic root of 4234100013 is about 1617.7833847545.

Adding to 4234100013 its reverse (3100014324), we get a palindrome (7334114337).

The spelling of 4234100013 in words is "four billion, two hundred thirty-four million, one hundred thousand, thirteen".