12331333101000 has 256 divisors, whose sum is σ = 39627586402560. Its totient is φ = 3190250649600.

The previous prime is 12331333100993. The next prime is 12331333101023. The reversal of 12331333101000 is 10133313321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38356924 + ... + 38677076.

It is an arithmetic number, because the mean of its divisors is an integer number (154795259385).

Almost surely, 2^{12331333101000} is an apocalyptic number.

12331333101000 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 12331333101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813793201280).

12331333101000 is an abundant number, since it is smaller than the sum of its proper divisors (27296253301560).

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

12331333101000 is a wasteful number, since it uses less digits than its factorization.

12331333101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320561 (or 320547 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 12331333101000 its reverse (10133313321), we get a palindrome (12341466414321).

The spelling of 12331333101000 in words is "twelve trillion, three hundred thirty-one billion, three hundred thirty-three million, one hundred one thousand".