2032133000 has 32 divisors (see below), whose sum is σ = 4755193560. Its totient is φ = 812852800.

The previous prime is 2032132997. The next prime is 2032133003. The reversal of 2032133000 is 3312302.

It is an interprime number because it is at equal distance from previous prime (2032132997) and next prime (2032133003).

It can be written as a sum of positive squares in 4 ways, for example, as 692426596 + 1339706404 = 26314^2 + 36602^2 .

It is not an unprimeable number, because it can be changed into a prime (2032133003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1015067 + ... + 1017066.

Almost surely, 2^2032133000 is an apocalyptic number.

2032133000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032133000 is an abundant number, since it is smaller than the sum of its proper divisors (2723060560).

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

2032133000 is a wasteful number, since it uses less digits than its factorization.

2032133000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032154 (or 2032140 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2032133000 is about 45079.1858843968. The cubic root of 2032133000 is about 1266.6327399346.

Adding to 2032133000 its reverse (3312302), we get a palindrome (2035445302).

The spelling of 2032133000 in words is "two billion, thirty-two million, one hundred thirty-three thousand".