3112133000 has 64 divisors (see below), whose sum is σ = 7347103920. Its totient is φ = 1233792000.

The previous prime is 3112132993. The next prime is 3112133027. The reversal of 3112133000 is 3312113.

It can be written as a sum of positive squares in 8 ways, for example, as 117635716 + 2994497284 = 10846^2 + 54722^2 .

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 15 ways as a sum of consecutive naturals, for example, 99230 + ... + 126770.

Almost surely, 2^3112133000 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 3112133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3673551960).

3112133000 is an abundant number, since it is smaller than the sum of its proper divisors (4234970920).

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

3112133000 is a wasteful number, since it uses less digits than its factorization.

3112133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27675 (or 27661 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 3112133000 is about 55786.4947814433. The cubic root of 3112133000 is about 1459.9995308687. Note that the first 3 decimals are identical.

Adding to 3112133000 its reverse (3312113), we get a palindrome (3115445113).

The spelling of 3112133000 in words is "three billion, one hundred twelve million, one hundred thirty-three thousand".