11010233000 has 128 divisors (see below), whose sum is σ = 27809701920. Its totient is φ = 4055961600.

The previous prime is 11010232979. The next prime is 11010233057. The reversal of 11010233000 is 33201011.

It can be written as a sum of positive squares in 16 ways, for example, as 369485284 + 10640747716 = 19222^2 + 103154^2 .

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, 8488352 + ... + 8489648.

Almost surely, 2^11010233000 is an apocalyptic number.

11010233000 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 11010233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904850960).

11010233000 is an abundant number, since it is smaller than the sum of its proper divisors (16799468920).

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

11010233000 is a wasteful number, since it uses less digits than its factorization.

11010233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 11010233000 its reverse (33201011), we get a palindrome (11043434011).

The spelling of 11010233000 in words is "eleven billion, ten million, two hundred thirty-three thousand".