213524303425312 has 144 divisors (see below), whose sum is σ = 469998313444800. Its totient is φ = 95404186944000.

The previous prime is 213524303425289. The next prime is 213524303425331.

213524303425312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52394989 + ... + 56323027.

It is an arithmetic number, because the mean of its divisors is an integer number (3263877176700).

Almost surely, 2^{213524303425312} is an apocalyptic number.

213524303425312 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 213524303425312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234999156722400).

213524303425312 is an abundant number, since it is smaller than the sum of its proper divisors (256474010019488).

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

213524303425312 is a wasteful number, since it uses less digits than its factorization.

213524303425312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928311 (or 3928292 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

It can be divided in two parts, 21352430 and 3425312, that added together give a palindrome (24777742).

The spelling of 213524303425312 in words is "two hundred thirteen trillion, five hundred twenty-four billion, three hundred three million, four hundred twenty-five thousand, three hundred twelve".