4131233000 has 64 divisors (see below), whose sum is σ = 9679597200. Its totient is φ = 1650355200.

The previous prime is 4131232999. The next prime is 4131233003. The reversal of 4131233000 is 3321314.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 488144836 + 3643088164 = 22094^2 + 60358^2 .

It is a super-2 number, since 2×4131233000² = 34134172200578000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4131233000.

It is not an unprimeable number, because it can be changed into a prime (4131233003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 934796 + ... + 939204.

Almost surely, 2^4131233000 is an apocalyptic number.

4131233000 is a gapful number since it is divisible by the number (40) 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 4131233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839798600).

4131233000 is an abundant number, since it is smaller than the sum of its proper divisors (5548364200).

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

4131233000 is a wasteful number, since it uses less digits than its factorization.

4131233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5367 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 4131233000 is about 64274.6684161031. The cubic root of 4131233000 is about 1604.5745387407.

Adding to 4131233000 its reverse (3321314), we get a palindrome (4134554314).

The spelling of 4131233000 in words is "four billion, one hundred thirty-one million, two hundred thirty-three thousand".