2133334333312 has 128 divisors (see below), whose sum is σ = 5282564414400. Its totient is φ = 835599974400.

The previous prime is 2133334333219. The next prime is 2133334333313.

2133334333312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2133334333312² (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 (2133334333313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269764 + ... + 2083132.

Almost surely, 2^{2133334333312} 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 2133334333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641282207200).

2133334333312 is an abundant number, since it is smaller than the sum of its proper divisors (3149230081088).

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

2133334333312 is a wasteful number, since it uses less digits than its factorization.

2133334333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813504 (or 1813492 counting only the distinct ones).

The product of its digits is 104976, while the sum is 34.

The spelling of 2133334333312 in words is "two trillion, one hundred thirty-three billion, three hundred thirty-four million, three hundred thirty-three thousand, three hundred twelve".