4133350100 has 72 divisors (see below), whose sum is σ = 9827371008. Its totient is φ = 1496492800.

The previous prime is 4133350069. The next prime is 4133350127. The reversal of 4133350100 is 10533314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 248237 + ... + 264363.

It is an arithmetic number, because the mean of its divisors is an integer number (136491264).

Almost surely, 2^4133350100 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 4133350100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913685504).

4133350100 is an abundant number, since it is smaller than the sum of its proper divisors (5694020908).

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

4133350100 is a wasteful number, since it uses less digits than its factorization.

4133350100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16385 (or 16378 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 4133350100 is about 64291.1354698297. The cubic root of 4133350100 is about 1604.8485864351.

Adding to 4133350100 its reverse (10533314), we get a palindrome (4143883414).

The spelling of 4133350100 in words is "four billion, one hundred thirty-three million, three hundred fifty thousand, one hundred".