213021320320 has 64 divisors (see below), whose sum is σ = 509311265400. Its totient is φ = 85198962688.

The previous prime is 213021320261. The next prime is 213021320321. The reversal of 213021320320 is 23023120312.

It can be written as a sum of positive squares in 4 ways, for example, as 170384026176 + 42637294144 = 412776^2 + 206488^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (213021320321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9369126 + ... + 9391834.

Almost surely, 2^213021320320 is an apocalyptic number.

213021320320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213021320320 is an abundant number, since it is smaller than the sum of its proper divisors (296289945080).

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

213021320320 is a wasteful number, since it uses less digits than its factorization.

213021320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37385 (or 37373 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213021320320 its reverse (23023120312), we get a palindrome (236044440632).

The spelling of 213021320320 in words is "two hundred thirteen billion, twenty-one million, three hundred twenty thousand, three hundred twenty".