10003224413 has 24 divisors (see below), whose sum is σ = 12605798520. Its totient is φ = 7914553920.

The previous prime is 10003224379. The next prime is 10003224431. The reversal of 10003224413 is 31442230001.

It can be written as a sum of positive squares in 4 ways, for example, as 6691567204 + 3311657209 = 81802^2 + 57547^2 .

It is not a de Polignac number, because 10003224413 - 2²⁰ = 10002175837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003224013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61193 + ... + 154113.

It is an arithmetic number, because the mean of its divisors is an integer number (525241605).

Almost surely, 2^10003224413 is an apocalyptic number.

10003224413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10003224413 is a deficient number, since it is larger than the sum of its proper divisors (2602574107).

10003224413 is an frugal number, since it uses more digits than its factorization.

10003224413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92974 (or 92941 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10003224413 its reverse (31442230001), we get a palindrome (41445454414).

The spelling of 10003224413 in words is "ten billion, three million, two hundred twenty-four thousand, four hundred thirteen".