4013330321 has 16 divisors (see below), whose sum is σ = 5388528768. Its totient is φ = 2886710400.

The previous prime is 4013330297. The next prime is 4013330323. The reversal of 4013330321 is 1230333104.

4013330321 = 19096² + 19097² + ... + 19106².

It is not a de Polignac number, because 4013330321 - 2¹⁰ = 4013329297 is a prime.

It is a super-2 number, since 2×4013330321² = 32213640530915926082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013330293 and 4013330302.

It is not an unprimeable number, because it can be changed into a prime (4013330323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2003660 + ... + 2005661.

It is an arithmetic number, because the mean of its divisors is an integer number (336783048).

Almost surely, 2^4013330321 is an apocalyptic number.

It is an amenable number.

4013330321 is a deficient number, since it is larger than the sum of its proper divisors (1375198447).

4013330321 is a wasteful number, since it uses less digits than its factorization.

4013330321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009352.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 4013330321 is about 63350.8509887594. The cubic root of 4013330321 is about 1589.1624771828.

Adding to 4013330321 its reverse (1230333104), we get a palindrome (5243663425).

The spelling of 4013330321 in words is "four billion, thirteen million, three hundred thirty thousand, three hundred twenty-one".