11441213000 has 128 divisors (see below), whose sum is σ = 30656171520. Its totient is φ = 3915129600.

The previous prime is 11441212987. The next prime is 11441213011. The reversal of 11441213000 is 31214411.

It is a happy number.

It is a super-2 number, since 2×11441213000² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11441213000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4569749 + ... + 4572251.

It is an arithmetic number, because the mean of its divisors is an integer number (239501340).

Almost surely, 2^11441213000 is an apocalyptic number.

11441213000 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 11441213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15328085760).

11441213000 is an abundant number, since it is smaller than the sum of its proper divisors (19214958520).

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

11441213000 is a wasteful number, since it uses less digits than its factorization.

11441213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3184 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11441213000 its reverse (31214411), we get a palindrome (11472427411).

The spelling of 11441213000 in words is "eleven billion, four hundred forty-one million, two hundred thirteen thousand".