11233134000 has 320 divisors, whose sum is σ = 43900047360. Its totient is φ = 2723040000.

The previous prime is 11233133993. The next prime is 11233134007. The reversal of 11233134000 is 43133211.

It is an interprime number because it is at equal distance from previous prime (11233133993) and next prime (11233134007).

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

It is not an unprimeable number, because it can be changed into a prime (11233134007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 584545 + ... + 603455.

It is an arithmetic number, because the mean of its divisors is an integer number (137187648).

Almost surely, 2^11233134000 is an apocalyptic number.

11233134000 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 11233134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21950023680).

11233134000 is an abundant number, since it is smaller than the sum of its proper divisors (32666913360).

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

11233134000 is a wasteful number, since it uses less digits than its factorization.

11233134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18954 (or 18932 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11233134000 its reverse (43133211), we get a palindrome (11276267211).

The spelling of 11233134000 in words is "eleven billion, two hundred thirty-three million, one hundred thirty-four thousand".