11213100 has 72 divisors (see below), whose sum is σ = 36056720. Its totient is φ = 2989440.

The previous prime is 11213093. The next prime is 11213113. The reversal of 11213100 is 131211.

It is a super-2 number, since 2×11213100² = 251467223220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624 + ... + 4776.

Almost surely, 2^11213100 is an apocalyptic number.

11213100 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 11213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028360).

11213100 is an abundant number, since it is smaller than the sum of its proper divisors (24843620).

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

11213100 is a wasteful number, since it uses less digits than its factorization.

11213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11213100 is about 3348.5967210161. The cubic root of 11213100 is about 223.8249855306.

Adding to 11213100 its reverse (131211), we get a palindrome (11344311).

The spelling of 11213100 in words is "eleven million, two hundred thirteen thousand, one hundred".