213103312000 has 64 divisors (see below), whose sum is σ = 529828149240. Its totient is φ = 85241318400.

The previous prime is 213103311979. The next prime is 213103312063. The reversal of 213103312000 is 213301312.

213103312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25628167744 + 187475144256 = 160088^2 + 432984^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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 7 ways as a sum of consecutive naturals, for example, 6643479 + ... + 6675478.

Almost surely, 2^213103312000 is an apocalyptic number.

213103312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213103312000 is an abundant number, since it is smaller than the sum of its proper divisors (316724837240).

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

213103312000 is an equidigital number, since it uses as much as digits as its factorization.

213103312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13318986 (or 13318964 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 213103312000 its reverse (213301312), we get a palindrome (213316613312).

The spelling of 213103312000 in words is "two hundred thirteen billion, one hundred three million, three hundred twelve thousand".