4013333000 has 64 divisors (see below), whose sum is σ = 9419857200. Its totient is φ = 1600435200.

The previous prime is 4013332927. The next prime is 4013333003. The reversal of 4013333000 is 3333104.

4013333000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2137444 + 4011195556 = 1462^2 + 63334^2 .

It is a super-2 number, since 2×4013333000² = 32213683537778000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013333000.

It is not an unprimeable number, because it can be changed into a prime (4013333003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331046 + ... + 342954.

Almost surely, 2^4013333000 is an apocalyptic number.

4013333000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709928600).

4013333000 is an abundant number, since it is smaller than the sum of its proper divisors (5406524200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4013333000 is a wasteful number, since it uses less digits than its factorization.

4013333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12267 (or 12253 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 4013333000 is about 63350.8721329075. The cubic root of 4013333000 is about 1589.1628307848.

Adding to 4013333000 its reverse (3333104), we get a palindrome (4016666104).

The spelling of 4013333000 in words is "four billion, thirteen million, three hundred thirty-three thousand".