10233003132000 has 576 divisors, whose sum is σ = 41085860594688. Its totient is φ = 2480725440000.

The previous prime is 10233003131969. The next prime is 10233003132071. The reversal of 10233003132000 is 23130033201.

10233003132000 is a `hidden beast` number, since 1 + 0 + 2 + 330 + 0 + 313 + 20 + 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10213465 + ... + 11170535.

It is an arithmetic number, because the mean of its divisors is an integer number (71329619088).

Almost surely, 2^{10233003132000} is an apocalyptic number.

10233003132000 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 10233003132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20542930297344).

10233003132000 is an abundant number, since it is smaller than the sum of its proper divisors (30852857462688).

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

10233003132000 is an equidigital number, since it uses as much as digits as its factorization.

10233003132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957122 (or 957092 counting only the distinct ones).

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

Adding to 10233003132000 its reverse (23130033201), we get a palindrome (10256133165201).

The spelling of 10233003132000 in words is "ten trillion, two hundred thirty-three billion, three million, one hundred thirty-two thousand".