213331343133312 has 96 divisors (see below), whose sum is σ = 630474598814580. Its totient is φ = 69188543705088.

The previous prime is 213331343133283. The next prime is 213331343133323.

It is a happy number.

213331343133312 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 3 + 1 + 3 + 4 + 313 + 331 + 2 = 666.

213331343133312 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 211220180629056 + 2111162504256 = 14533416^2 + 1452984^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2502436533 + ... + 2502521780.

Almost surely, 2^{213331343133312} is an apocalyptic number.

It is an amenable number.

213331343133312 is an abundant number, since it is smaller than the sum of its proper divisors (417143255681268).

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

213331343133312 is a wasteful number, since it uses less digits than its factorization.

213331343133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004958370 (or 5004958355 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The spelling of 213331343133312 in words is "two hundred thirteen trillion, three hundred thirty-one billion, three hundred forty-three million, one hundred thirty-three thousand, three hundred twelve".