213001104000 has 128 divisors (see below), whose sum is σ = 706098818880. Its totient is φ = 56800281600.

The previous prime is 213001103993. The next prime is 213001104011. The reversal of 213001104000 is 401100312.

It is a happy number.

213001104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 2170762 + ... + 2266761.

Almost surely, 2^213001104000 is an apocalyptic number.

213001104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001104000 is an abundant number, since it is smaller than the sum of its proper divisors (493097714880).

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

213001104000 is an equidigital number, since it uses as much as digits as its factorization.

213001104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437555 (or 4437533 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 213001104000 its reverse (401100312), we get a palindrome (213402204312).

The spelling of 213001104000 in words is "two hundred thirteen billion, one million, one hundred four thousand".