213112211331312 has 120 divisors (see below), whose sum is σ = 601624442904576. Its totient is φ = 70419623833728.

The previous prime is 213112211331281. The next prime is 213112211331329. The reversal of 213112211331312 is 213133112211312.

213112211331312 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 2 + 2 + 11 + 331 + 312 = 666.

It is a super-3 number, since 3×213112211331312³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3247888 + ... + 20899119.

Almost surely, 2^{213112211331312} 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 213112211331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300812221452288).

213112211331312 is an abundant number, since it is smaller than the sum of its proper divisors (388512231573264).

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

213112211331312 is a wasteful number, since it uses less digits than its factorization.

213112211331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24147555 (or 24147546 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 213112211331312 its reverse (213133112211312), we get a palindrome (426245323542624).

The spelling of 213112211331312 in words is "two hundred thirteen trillion, one hundred twelve billion, two hundred eleven million, three hundred thirty-one thousand, three hundred twelve".