4213213100 has 72 divisors (see below), whose sum is σ = 9657381888. Its totient is φ = 1592942400.

The previous prime is 4213213093. The next prime is 4213213127. The reversal of 4213213100 is 13123124.

4213213100 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 2×4213213100² = 35502329252023220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117497 + ... + 149103.

It is an arithmetic number, because the mean of its divisors is an integer number (134130304).

Almost surely, 2^4213213100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4213213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4828690944).

4213213100 is an abundant number, since it is smaller than the sum of its proper divisors (5444168788).

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

4213213100 is a wasteful number, since it uses less digits than its factorization.

4213213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31695 (or 31688 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4213213100 is about 64909.2682134069. The cubic root of 4213213100 is about 1615.1188108907.

Adding to 4213213100 its reverse (13123124), we get a palindrome (4226336224).

The spelling of 4213213100 in words is "four billion, two hundred thirteen million, two hundred thirteen thousand, one hundred".