213111130000 has 50 divisors (see below), whose sum is σ = 515963381054. Its totient is φ = 85244448000.

The previous prime is 213111129961. The next prime is 213111130003. The reversal of 213111130000 is 31111312.

213111130000 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 5 ways, for example, as 100719908496 + 112391221504 = 317364^2 + 335248^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (213111130003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 10645557 + ... + 10665556.

Almost surely, 2^213111130000 is an apocalyptic number.

213111130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213111130000 is an abundant number, since it is smaller than the sum of its proper divisors (302852251054).

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

213111130000 is an equidigital number, since it uses as much as digits as its factorization.

213111130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21311141 (or 21311120 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 213111130000 its reverse (31111312), we get a palindrome (213142241312).

The spelling of 213111130000 in words is "two hundred thirteen billion, one hundred eleven million, one hundred thirty thousand".