2133113212000 has 384 divisors, whose sum is σ = 5579410636800. Its totient is φ = 800093952000.

The previous prime is 2133113211997. The next prime is 2133113212051. The reversal of 2133113212000 is 2123113312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 952706881 + ... + 952709119.

It is an arithmetic number, because the mean of its divisors is an integer number (14529715200).

Almost surely, 2^{2133113212000} is an apocalyptic number.

2133113212000 is a gapful number since it is divisible by the number (20) 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 2133113212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789705318400).

2133113212000 is an abundant number, since it is smaller than the sum of its proper divisors (3446297424800).

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

2133113212000 is a wasteful number, since it uses less digits than its factorization.

2133113212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2133113212000 its reverse (2123113312), we get a palindrome (2135236325312).

The spelling of 2133113212000 in words is "two trillion, one hundred thirty-three billion, one hundred thirteen million, two hundred twelve thousand".