10323442333000 has 128 divisors (see below), whose sum is σ = 24297109855200. Its totient is φ = 4105414656000.

The previous prime is 10323442332997. The next prime is 10323442333003. The reversal of 10323442333000 is 33324432301.

It is a happy number.

10323442333000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10323442332997) and next prime (10323442333003).

It can be written as a sum of positive squares in 16 ways, for example, as 3626640331876 + 6696802001124 = 1904374^2 + 2587818^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10323442333000.

It is not an unprimeable number, because it can be changed into a prime (10323442333003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980471736 + ... + 980482264.

Almost surely, 2^{10323442333000} is an apocalyptic number.

10323442333000 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 10323442333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12148554927600).

10323442333000 is an abundant number, since it is smaller than the sum of its proper divisors (13973667522200).

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

10323442333000 is a wasteful number, since it uses less digits than its factorization.

10323442333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16148 (or 16134 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 10323442333000 its reverse (33324432301), we get a palindrome (10356766765301).

The spelling of 10323442333000 in words is "ten trillion, three hundred twenty-three billion, four hundred forty-two million, three hundred thirty-three thousand".