12133300113000 has 384 divisors, whose sum is σ = 44749105914240. Its totient is φ = 2940727680000.

The previous prime is 12133300112957. The next prime is 12133300113019. The reversal of 12133300113000 is 31100333121.

It is a happy number.

12133300113000 is a `hidden beast` number, since 1 + 21 + 3 + 330 + 0 + 11 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 529341540 + ... + 529364460.

It is an arithmetic number, because the mean of its divisors is an integer number (116534129985).

Almost surely, 2^{12133300113000} is an apocalyptic number.

12133300113000 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 12133300113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22374552957120).

12133300113000 is an abundant number, since it is smaller than the sum of its proper divisors (32615805801240).

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

12133300113000 is a wasteful number, since it uses less digits than its factorization.

12133300113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28306 (or 28289 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12133300113000 its reverse (31100333121), we get a palindrome (12164400446121).

The spelling of 12133300113000 in words is "twelve trillion, one hundred thirty-three billion, three hundred million, one hundred thirteen thousand".