11213333100 has 216 divisors, whose sum is σ = 35703027360. Its totient is φ = 2943360000.

The previous prime is 11213333071. The next prime is 11213333147. The reversal of 11213333100 is 133331211.

It is a happy number.

11213333100 is a `hidden beast` number, since 1 + 1 + 21 + 333 + 310 + 0 = 666.

It is a super-2 number, since 2×11213333100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25542681 + ... + 25543119.

Almost surely, 2^11213333100 is an apocalyptic number.

11213333100 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 11213333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17851513680).

11213333100 is an abundant number, since it is smaller than the sum of its proper divisors (24489694260).

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

11213333100 is a wasteful number, since it uses less digits than its factorization.

11213333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11213333100 its reverse (133331211), we get a palindrome (11346664311).

The spelling of 11213333100 in words is "eleven billion, two hundred thirteen million, three hundred thirty-three thousand, one hundred".