213133301201312 has 72 divisors (see below), whose sum is σ = 433820185198092. Its totient is φ = 103013626521600.

The previous prime is 213133301201311. The next prime is 213133301201321. The reversal of 213133301201312 is 213102103331312.

It can be written as a sum of positive squares in 6 ways, for example, as 121451067594256 + 91682233607056 = 11020484^2 + 9575084^2 .

It is not an unprimeable number, because it can be changed into a prime (213133301201311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8751362 + ... + 22424382.

Almost surely, 2^{213133301201312} 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 213133301201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216910092599046).

213133301201312 is an abundant number, since it is smaller than the sum of its proper divisors (220686883996780).

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

213133301201312 is a wasteful number, since it uses less digits than its factorization.

213133301201312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13673290 (or 13673173 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 213133301201312 its reverse (213102103331312), we get a palindrome (426235404532624).

The spelling of 213133301201312 in words is "two hundred thirteen trillion, one hundred thirty-three billion, three hundred one million, two hundred one thousand, three hundred twelve".