213135531312 has 120 divisors (see below), whose sum is σ = 605724047152. Its totient is φ = 64531146240.

The previous prime is 213135531299. The next prime is 213135531319.

213135531312 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 213135531312.

It is not an unprimeable number, because it can be changed into a prime (213135531319) 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, 7029978 + ... + 7060230.

Almost surely, 2^213135531312 is an apocalyptic number.

213135531312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213135531312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302862023576).

213135531312 is an abundant number, since it is smaller than the sum of its proper divisors (392588515840).

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

213135531312 is a wasteful number, since it uses less digits than its factorization.

213135531312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31499 (or 31482 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 213135 and 531312, that added together give a palindrome (744447).

The spelling of 213135531312 in words is "two hundred thirteen billion, one hundred thirty-five million, five hundred thirty-one thousand, three hundred twelve".