4113213300 has 216 divisors, whose sum is σ = 15210470912. Its totient is φ = 909792000.

The previous prime is 4113213287. The next prime is 4113213301. The reversal of 4113213300 is 33123114.

4113213300 is a `hidden beast` number, since 4 + 11 + 321 + 330 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113213301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184770 + ... + 205830.

Almost surely, 2^4113213300 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 4113213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7605235456).

4113213300 is an abundant number, since it is smaller than the sum of its proper divisors (11097257612).

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

4113213300 is a wasteful number, since it uses less digits than its factorization.

4113213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21119 (or 21109 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 4113213300 is about 64134.3379165950. The cubic root of 4113213300 is about 1602.2381827305.

Adding to 4113213300 its reverse (33123114), we get a palindrome (4146336414).

The spelling of 4113213300 in words is "four billion, one hundred thirteen million, two hundred thirteen thousand, three hundred".