213085580312 has 16 divisors (see below), whose sum is σ = 435856869000. Its totient is φ = 96857081920.

The previous prime is 213085580209. The next prime is 213085580381.

213085580312 is nontrivially palindromic in base 10.

213085580312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1210713437 + ... + 1210713612.

Almost surely, 2^213085580312 is an apocalyptic number.

213085580312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213085580312 is an abundant number, since it is smaller than the sum of its proper divisors (222771288688).

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

213085580312 is a wasteful number, since it uses less digits than its factorization.

213085580312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421427066 (or 2421427062 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

It can be divided in two parts, 213085 and 580312, that added together give a palindrome (793397).

The spelling of 213085580312 in words is "two hundred thirteen billion, eighty-five million, five hundred eighty thousand, three hundred twelve".