2133312023100 has 288 divisors, whose sum is σ = 6318845568000. Its totient is φ = 555528268800.

The previous prime is 2133312023071. The next prime is 2133312023107. The reversal of 2133312023100 is 13202133312.

It is a super-2 number, since 2×2133312023100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133312023107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2267068630 + ... + 2267069570.

It is an arithmetic number, because the mean of its divisors is an integer number (21940436000).

Almost surely, 2^{2133312023100} is an apocalyptic number.

2133312023100 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 2133312023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159422784000).

2133312023100 is an abundant number, since it is smaller than the sum of its proper divisors (4185533544900).

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

2133312023100 is a wasteful number, since it uses less digits than its factorization.

2133312023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2133312023100 its reverse (13202133312), we get a palindrome (2146514156412).

The spelling of 2133312023100 in words is "two trillion, one hundred thirty-three billion, three hundred twelve million, twenty-three thousand, one hundred".