11213210000 has 100 divisors (see below), whose sum is σ = 27661842252. Its totient is φ = 4400448000.

The previous prime is 11213209967. The next prime is 11213210009. The reversal of 11213210000 is 1231211.

It can be written as a sum of positive squares in 10 ways, for example, as 10195344784 + 1017865216 = 100972^2 + 31904^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11213210009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 519422 + ... + 540578.

Almost surely, 2^11213210000 is an apocalyptic number.

11213210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11213210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13830921126).

11213210000 is an abundant number, since it is smaller than the sum of its proper divisors (16448632252).

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

11213210000 is an equidigital number, since it uses as much as digits as its factorization.

11213210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21238 (or 21217 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11213210000 its reverse (1231211), we get a palindrome (11214441211).

The spelling of 11213210000 in words is "eleven billion, two hundred thirteen million, two hundred ten thousand".