3133141200 has 360 divisors, whose sum is σ = 12559362816. Its totient is φ = 708480000.

The previous prime is 3133141189. The next prime is 3133141229. The reversal of 3133141200 is 21413313.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2544585 + ... + 2545815.

Almost surely, 2^3133141200 is an apocalyptic number.

3133141200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279681408).

3133141200 is an abundant number, since it is smaller than the sum of its proper divisors (9426221616).

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

3133141200 is a wasteful number, since it uses less digits than its factorization.

3133141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1349 counting only the distinct ones).

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

The square root of 3133141200 is about 55974.4691801539. The cubic root of 3133141200 is about 1463.2773688894.

Adding to 3133141200 its reverse (21413313), we get a palindrome (3154554513).

The spelling of 3133141200 in words is "three billion, one hundred thirty-three million, one hundred forty-one thousand, two hundred".