4133213100 has 108 divisors (see below), whose sum is σ = 12975200784. Its totient is φ = 1100499840.

The previous prime is 4133213083. The next prime is 4133213113. The reversal of 4133213100 is 13123314.

It is a super-2 number, since 2×4133213100² = 34166901060023220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 651142 + ... + 657458.

It is an arithmetic number, because the mean of its divisors is an integer number (120140748).

Almost surely, 2^4133213100 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 4133213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6487600392).

4133213100 is an abundant number, since it is smaller than the sum of its proper divisors (8841987684).

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

4133213100 is a wasteful number, since it uses less digits than its factorization.

4133213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7064 (or 7054 counting only the distinct ones).

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

The square root of 4133213100 is about 64290.0699952955. The cubic root of 4133213100 is about 1604.8308553227.

Adding to 4133213100 its reverse (13123314), we get a palindrome (4146336414).

The spelling of 4133213100 in words is "four billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred".