10333133324032 has 72 divisors (see below), whose sum is σ = 21346176453840. Its totient is φ = 4986296770560.

The previous prime is 10333133324029. The next prime is 10333133324053. The reversal of 10333133324032 is 23042333133301.

It is a super-4 number, since 4×10333133324032⁴ (a number of 53 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10333133323985 and 10333133324003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17308788 + ... + 17895820.

It is an arithmetic number, because the mean of its divisors is an integer number (296474672970).

Almost surely, 2^{10333133324032} 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 10333133324032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673088226920).

10333133324032 is an abundant number, since it is smaller than the sum of its proper divisors (11013043129808).

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

10333133324032 is an equidigital number, since it uses as much as digits as its factorization.

10333133324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589449 (or 589435 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 31.

Adding to 10333133324032 its reverse (23042333133301), we get a palindrome (33375466457333).

The spelling of 10333133324032 in words is "ten trillion, three hundred thirty-three billion, one hundred thirty-three million, three hundred twenty-four thousand, thirty-two".