10233023333000 has 256 divisors, whose sum is σ = 27329651294400. Its totient is φ = 3552765542400.

The previous prime is 10233023332967. The next prime is 10233023333059. The reversal of 10233023333000 is 33332033201.

It can be written as a sum of positive squares in 32 ways, for example, as 3288354277924 + 6944669055076 = 1813382^2 + 2635274^2 .

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 242415896 + ... + 242458104.

Almost surely, 2^{10233023333000} is an apocalyptic number.

10233023333000 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 10233023333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13664825647200).

10233023333000 is an abundant number, since it is smaller than the sum of its proper divisors (17096627961400).

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

10233023333000 is a wasteful number, since it uses less digits than its factorization.

10233023333000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43357 (or 43343 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 10233023333000 its reverse (33332033201), we get a palindrome (10266355366201).

The spelling of 10233023333000 in words is "ten trillion, two hundred thirty-three billion, twenty-three million, three hundred thirty-three thousand".