213443204142312 has 192 divisors, whose sum is σ = 600608241792000. Its totient is φ = 68405365416960.

The previous prime is 213443204142307. The next prime is 213443204142323. The reversal of 213443204142312 is 213241402344312.

213443204142312 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 4 + 3 + 2 + 0 + 414 + 231 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300346828 + ... + 301056644.

It is an arithmetic number, because the mean of its divisors is an integer number (3128167926000).

Almost surely, 2^{213443204142312} 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 213443204142312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300304120896000).

213443204142312 is an abundant number, since it is smaller than the sum of its proper divisors (387165037649688).

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

213443204142312 is a wasteful number, since it uses less digits than its factorization.

213443204142312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710736 (or 710729 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 213443204142312 its reverse (213241402344312), we get a palindrome (426684606486624).

The spelling of 213443204142312 in words is "two hundred thirteen trillion, four hundred forty-three billion, two hundred four million, one hundred forty-two thousand, three hundred twelve".