2133434343312 has 60 divisors (see below), whose sum is σ = 5970810126060. Its totient is φ = 711126073344.

The previous prime is 2133434343247. The next prime is 2133434343319.

2133434343312 is a `hidden beast` number, since 2 + 1 + 334 + 3 + 4 + 3 + 4 + 3 + 312 = 666.

2133434343312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 239849185536 + 1893585157776 = 489744^2 + 1376076^2 .

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 not an unprimeable number, because it can be changed into a prime (2133434343319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5973688 + ... + 6320744.

It is an arithmetic number, because the mean of its divisors is an integer number (99513502101).

Almost surely, 2^{2133434343312} is an apocalyptic number.

It is an amenable number.

2133434343312 is an abundant number, since it is smaller than the sum of its proper divisors (3837375782748).

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

2133434343312 is a wasteful number, since it uses less digits than its factorization.

2133434343312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389760 (or 389751 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 2133434343312 in words is "two trillion, one hundred thirty-three billion, four hundred thirty-four million, three hundred forty-three thousand, three hundred twelve".