11130113223000 has 288 divisors, whose sum is σ = 37892967708960. Its totient is φ = 2946631420800.

The previous prime is 11130113222971. The next prime is 11130113223013. The reversal of 11130113223000 is 32231103111.

11130113223000 is a `hidden beast` number, since 1 + 1 + 1 + 30 + 11 + 322 + 300 + 0 = 666.

It is a super-3 number, since 3×11130113223000³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

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, 173856997 + ... + 173921003.

It is an arithmetic number, because the mean of its divisors is an integer number (131572804545).

Almost surely, 2^{11130113223000} is an apocalyptic number.

11130113223000 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 11130113223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946483854480).

11130113223000 is an abundant number, since it is smaller than the sum of its proper divisors (26762854485960).

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

11130113223000 is a wasteful number, since it uses less digits than its factorization.

11130113223000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64312 (or 64156 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11130113223000 its reverse (32231103111), we get a palindrome (11162344326111).

The spelling of 11130113223000 in words is "eleven trillion, one hundred thirty billion, one hundred thirteen million, two hundred twenty-three thousand".