424100013 has 16 divisors (see below), whose sum is σ = 603778560. Its totient is φ = 264149424.

The previous prime is 424099987. The next prime is 424100021. The reversal of 424100013 is 310001424.

It is not a de Polignac number, because 424100013 - 2²⁰ = 423051437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 424099965 and 424100001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68503 + ... + 74436.

It is an arithmetic number, because the mean of its divisors is an integer number (37736160).

Almost surely, 2^424100013 is an apocalyptic number.

424100013 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

424100013 is a deficient number, since it is larger than the sum of its proper divisors (179678547).

424100013 is a wasteful number, since it uses less digits than its factorization.

424100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143008.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 424100013 is about 20593.6886691044. The cubic root of 424100013 is about 751.3162149752.

Adding to 424100013 its reverse (310001424), we get a palindrome (734101437).

The spelling of 424100013 in words is "four hundred twenty-four million, one hundred thousand, thirteen".