10033312000 has 144 divisors (see below), whose sum is σ = 25117236144. Its totient is φ = 3993600000.

The previous prime is 10033311989. The next prime is 10033312021. The reversal of 10033312000 is 21333001.

It can be written as a sum of positive squares in 8 ways, for example, as 5628600576 + 4404711424 = 75024^2 + 66368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7711350 + ... + 7712650.

It is an arithmetic number, because the mean of its divisors is an integer number (174425251).

Almost surely, 2^10033312000 is an apocalyptic number.

10033312000 is a gapful number since it is divisible by the number (10) 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 10033312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558618072).

10033312000 is an abundant number, since it is smaller than the sum of its proper divisors (15083924144).

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

10033312000 is an equidigital number, since it uses as much as digits as its factorization.

10033312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1549 counting only the distinct ones).

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

Adding to 10033312000 its reverse (21333001), we get a palindrome (10054645001).

The spelling of 10033312000 in words is "ten billion, thirty-three million, three hundred twelve thousand".