123333101330000 has 100 divisors (see below), whose sum is σ = 298681980421440. Its totient is φ = 49319988912000.

The previous prime is 123333101329951. The next prime is 123333101330011. The reversal of 123333101330000 is 33101333321.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×123333101330000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 35615411 + ... + 38924589.

Almost surely, 2^{123333101330000} is an apocalyptic number.

123333101330000 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 123333101330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149340990210720).

123333101330000 is an abundant number, since it is smaller than the sum of its proper divisors (175348879091440).

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

123333101330000 is an equidigital number, since it uses as much as digits as its factorization.

123333101330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312934 (or 3312913 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 123333101330000 its reverse (33101333321), we get a palindrome (123366202663321).

The spelling of 123333101330000 in words is "one hundred twenty-three trillion, three hundred thirty-three billion, one hundred one million, three hundred thirty thousand".