3133132200 has 288 divisors, whose sum is σ = 11545466400. Its totient is φ = 755136000.

The previous prime is 3133132199. The next prime is 3133132201. The reversal of 3133132200 is 22313313.

3133132200 is a `hidden beast` number, since 313 + 31 + 322 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3133132199) and next prime (3133132201).

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

It is not an unprimeable number, because it can be changed into a prime (3133132201) 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, 4533855 + ... + 4534545.

It is an arithmetic number, because the mean of its divisors is an integer number (40088425).

Almost surely, 2^3133132200 is an apocalyptic number.

3133132200 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 3133132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772733200).

3133132200 is an abundant number, since it is smaller than the sum of its proper divisors (8412334200).

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

3133132200 is a wasteful number, since it uses less digits than its factorization.

3133132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3133132200 is about 55974.3887863012. The cubic root of 3133132200 is about 1463.2759677919.

Adding to 3133132200 its reverse (22313313), we get a palindrome (3155445513).

It can be divided in two parts, 313313 and 2200, that added together give a palindrome (315513).

The spelling of 3133132200 in words is "three billion, one hundred thirty-three million, one hundred thirty-two thousand, two hundred".