4013300321 has 8 divisors (see below), whose sum is σ = 4051799400. Its totient is φ = 3974832000.

The previous prime is 4013300309. The next prime is 4013300323. The reversal of 4013300321 is 1230033104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2016997921 + 1996302400 = 44911^2 + 44680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4013300321 - 2⁶ = 4013300257 is a prime.

It is a super-2 number, since 2×4013300321² = 32213158933077406082, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4013300321.

It is not an unprimeable number, because it can be changed into a prime (4013300323) 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 7 ways as a sum of consecutive naturals, for example, 320975 + ... + 333243.

It is an arithmetic number, because the mean of its divisors is an integer number (506474925).

Almost surely, 2^4013300321 is an apocalyptic number.

It is an amenable number.

4013300321 is a deficient number, since it is larger than the sum of its proper divisors (38499079).

4013300321 is a wasteful number, since it uses less digits than its factorization.

4013300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15379.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 4013300321 is about 63350.6142117028. The cubic root of 4013300321 is about 1589.1585174628.

Adding to 4013300321 its reverse (1230033104), we get a palindrome (5243333425).

The spelling of 4013300321 in words is "four billion, thirteen million, three hundred thousand, three hundred twenty-one".