10133032 has 64 divisors (see below), whose sum is σ = 24192000. Its totient is φ = 3870720.

The previous prime is 10133029. The next prime is 10133033. The reversal of 10133032 is 23033101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10133033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22344 + ... + 22792.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 2^10133032 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 10133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096000).

10133032 is an abundant number, since it is smaller than the sum of its proper divisors (14058968).

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

10133032 is a wasteful number, since it uses less digits than its factorization.

10133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 10133032 is about 3183.2423721734. The cubic root of 10133032 is about 216.3946260978.

Adding to 10133032 its reverse (23033101), we get a palindrome (33166133).

It can be divided in two parts, 101 and 33032, that added together give a palindrome (33133).

The spelling of 10133032 in words is "ten million, one hundred thirty-three thousand, thirty-two".