2133336333312 has 264 divisors, whose sum is σ = 6492971169360. Its totient is φ = 672770949120.

The previous prime is 2133336333311. The next prime is 2133336333319.

2133336333312 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 3 + 3 + 6 + 333 + 312 = 666.

2133336333312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2133336333312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133336333311) 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, 135347512 + ... + 135363272.

Almost surely, 2^{2133336333312} 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 2133336333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246485584680).

2133336333312 is an abundant number, since it is smaller than the sum of its proper divisors (4359634836048).

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

2133336333312 is a wasteful number, since it uses less digits than its factorization.

2133336333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16579 (or 16558 counting only the distinct ones).

The product of its digits is 157464, while the sum is 36.

The spelling of 2133336333312 in words is "two trillion, one hundred thirty-three billion, three hundred thirty-six million, three hundred thirty-three thousand, three hundred twelve".