213402333312 has 192 divisors, whose sum is σ = 708027989760. Its totient is φ = 60432261120.

The previous prime is 213402333301. The next prime is 213402333317. The reversal of 213402333312 is 213333204312.

213402333312 is a `hidden beast` number, since 2 + 1 + 340 + 2 + 3 + 3 + 3 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (213402333317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 794137 + ... + 1028327.

It is an arithmetic number, because the mean of its divisors is an integer number (3687645780).

Almost surely, 2^213402333312 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 213402333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354013994880).

213402333312 is an abundant number, since it is smaller than the sum of its proper divisors (494625656448).

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

213402333312 is a wasteful number, since it uses less digits than its factorization.

213402333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234331 (or 234316 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 213402333312 its reverse (213333204312), we get a palindrome (426735537624).

The spelling of 213402333312 in words is "two hundred thirteen billion, four hundred two million, three hundred thirty-three thousand, three hundred twelve".