213133343331312 has 90 divisors (see below), whose sum is σ = 613034055580128. Its totient is φ = 69124327502976.

The previous prime is 213133343331299. The next prime is 213133343331317.

It is a happy number.

213133343331312 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 3 + 3 + 4 + 3 + 331 + 312 = 666.

213133343331312 is nontrivially palindromic in base 10.

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 (213133343331317) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 540377248 + ... + 540771519.

Almost surely, 2^{213133343331312} is an apocalyptic number.

It is an amenable number.

213133343331312 is an abundant number, since it is smaller than the sum of its proper divisors (399900712248816).

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

213133343331312 is a wasteful number, since it uses less digits than its factorization.

213133343331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081148855 (or 1081148809 counting only the distinct ones).

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

The spelling of 213133343331312 in words is "two hundred thirteen trillion, one hundred thirty-three billion, three hundred forty-three million, three hundred thirty-one thousand, three hundred twelve".