2133313122312 has 96 divisors (see below), whose sum is σ = 5845581406080. Its totient is φ = 702784172160.

The previous prime is 2133313122277. The next prime is 2133313122319. The reversal of 2133313122312 is 2132213133312.

2133313122312 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 31 + 312 + 2 + 312 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2133313122319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2914513 + ... + 3572255.

It is an arithmetic number, because the mean of its divisors is an integer number (60891472980).

Almost surely, 2^{2133313122312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133313122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922790703040).

2133313122312 is an abundant number, since it is smaller than the sum of its proper divisors (3712268283768).

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

2133313122312 is a wasteful number, since it uses less digits than its factorization.

2133313122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658283 (or 658276 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2133313122312 its reverse (2132213133312), we get a palindrome (4265526255624).

The spelling of 2133313122312 in words is "two trillion, one hundred thirty-three billion, three hundred thirteen million, one hundred twenty-two thousand, three hundred twelve".