10231133232000 has 256 divisors, whose sum is σ = 34013443464000. Its totient is φ = 2720480256000.

The previous prime is 10231133231987. The next prime is 10231133232049. The reversal of 10231133232000 is 23233113201.

10231133232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16446630 + ... + 17057370.

Almost surely, 2^{10231133232000} is an apocalyptic number.

10231133232000 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 10231133232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006721732000).

10231133232000 is an abundant number, since it is smaller than the sum of its proper divisors (23782310232000).

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

10231133232000 is an equidigital number, since it uses as much as digits as its factorization.

10231133232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611122 (or 611100 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10231133232000 its reverse (23233113201), we get a palindrome (10254366345201).

The spelling of 10231133232000 in words is "ten trillion, two hundred thirty-one billion, one hundred thirty-three million, two hundred thirty-two thousand".