10233103320000 has 1680 divisors, whose sum is σ = 41384422045824. Its totient is φ = 2395008000000.

The previous prime is 10233103319983. The next prime is 10233103320001. The reversal of 10233103320000 is 2330133201.

10233103320000 is a `hidden beast` number, since 1 + 0 + 2 + 331 + 0 + 332 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10233103320001) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 30915719835 + ... + 30915720165.

Almost surely, 2^{10233103320000} is an apocalyptic number.

10233103320000 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 10233103320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20692211022912).

10233103320000 is an abundant number, since it is smaller than the sum of its proper divisors (31151318725824).

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

10233103320000 is a wasteful number, since it uses less digits than its factorization.

10233103320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10233103320000 its reverse (2330133201), we get a palindrome (10235433453201).

The spelling of 10233103320000 in words is "ten trillion, two hundred thirty-three billion, one hundred three million, three hundred twenty thousand".