213818616320 has 80 divisors (see below), whose sum is σ = 529201271808. Its totient is φ = 82768465920.

The previous prime is 213818616311. The next prime is 213818616329. The reversal of 213818616320 is 23616818312.

213818616320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213818616311) and next prime (213818616329).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (213818616329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1267784 + ... + 1426503.

Almost surely, 2^213818616320 is an apocalyptic number.

213818616320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213818616320 is an abundant number, since it is smaller than the sum of its proper divisors (315382655488).

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

213818616320 is an equidigital number, since it uses as much as digits as its factorization.

213818616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694341 (or 2694325 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 213818616320 in words is "two hundred thirteen billion, eight hundred eighteen million, six hundred sixteen thousand, three hundred twenty".