11211013300 has 72 divisors (see below), whose sum is σ = 24632407800. Its totient is φ = 4428633600.

The previous prime is 11211013279. The next prime is 11211013313. The reversal of 11211013300 is 331011211.

It can be written as a sum of positive squares in 12 ways, for example, as 9039826084 + 2171187216 = 95078^2 + 46596^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2694822 + ... + 2698978.

It is an arithmetic number, because the mean of its divisors is an integer number (342116775).

Almost surely, 2^11211013300 is an apocalyptic number.

11211013300 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 11211013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12316203900).

11211013300 is an abundant number, since it is smaller than the sum of its proper divisors (13421394500).

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

11211013300 is a wasteful number, since it uses less digits than its factorization.

11211013300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501 (or 4494 counting only the distinct ones).

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

Adding to 11211013300 its reverse (331011211), we get a palindrome (11542024511).

The spelling of 11211013300 in words is "eleven billion, two hundred eleven million, thirteen thousand, three hundred".