2133132233100 has 576 divisors, whose sum is σ = 7350279552000. Its totient is φ = 472173363200.

The previous prime is 2133132233069. The next prime is 2133132233173. The reversal of 2133132233100 is 13322313312.

It is a super-2 number, since 2×2133132233100² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 195892456 + ... + 195903344.

It is an arithmetic number, because the mean of its divisors is an integer number (12760902000).

Almost surely, 2^{2133132233100} is an apocalyptic number.

2133132233100 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 2133132233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675139776000).

2133132233100 is an abundant number, since it is smaller than the sum of its proper divisors (5217147318900).

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

2133132233100 is a wasteful number, since it uses less digits than its factorization.

2133132233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11058 (or 11051 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2133132233100 its reverse (13322313312), we get a palindrome (2146454546412).

The spelling of 2133132233100 in words is "two trillion, one hundred thirty-three billion, one hundred thirty-two million, two hundred thirty-three thousand, one hundred".