4013213204 has 96 divisors (see below), whose sum is σ = 9527782656. Its totient is φ = 1428295680.

The previous prime is 4013213153. The next prime is 4013213207. The reversal of 4013213204 is 4023123104.

4013213204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4013213204² = 32211760441519891232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013213207) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383222 + ... + 393554.

It is an arithmetic number, because the mean of its divisors is an integer number (99247736).

Almost surely, 2^4013213204 is an apocalyptic number.

4013213204 is a gapful number since it is divisible by the number (44) 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 4013213204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4763891328).

4013213204 is an abundant number, since it is smaller than the sum of its proper divisors (5514569452).

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

4013213204 is a wasteful number, since it uses less digits than its factorization.

4013213204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10465 (or 10463 counting only the distinct ones).

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

The square root of 4013213204 is about 63349.9266297918. The cubic root of 4013213204 is about 1589.1470187200.

Adding to 4013213204 its reverse (4023123104), we get a palindrome (8036336308).

The spelling of 4013213204 in words is "four billion, thirteen million, two hundred thirteen thousand, two hundred four".