3133633100 has 72 divisors (see below), whose sum is σ = 7360466400. Its totient is φ = 1151124480.

The previous prime is 3133633093. The next prime is 3133633123. The reversal of 3133633100 is 13363313.

It is a super-2 number, since 2×3133633100² = 19639312810831220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252644 + ... + 264756.

It is an arithmetic number, because the mean of its divisors is an integer number (102228700).

Almost surely, 2^3133633100 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 3133633100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680233200).

3133633100 is an abundant number, since it is smaller than the sum of its proper divisors (4226833300).

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

3133633100 is a wasteful number, since it uses less digits than its factorization.

3133633100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339 (or 12332 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

The square root of 3133633100 is about 55978.8629752338. The cubic root of 3133633100 is about 1463.3539425713.

Adding to 3133633100 its reverse (13363313), we get a palindrome (3146996413).

The spelling of 3133633100 in words is "three billion, one hundred thirty-three million, six hundred thirty-three thousand, one hundred".