11311233000 has 256 divisors, whose sum is σ = 36509840640. Its totient is φ = 2913408000.

The previous prime is 11311232987. The next prime is 11311233019. The reversal of 11311233000 is 33211311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20090719 + ... + 20091281.

It is an arithmetic number, because the mean of its divisors is an integer number (142616565).

Almost surely, 2^11311233000 is an apocalyptic number.

11311233000 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 11311233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18254920320).

11311233000 is an abundant number, since it is smaller than the sum of its proper divisors (25198607640).

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

11311233000 is a wasteful number, since it uses less digits than its factorization.

11311233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11311233000 its reverse (33211311), we get a palindrome (11344444311).

The spelling of 11311233000 in words is "eleven billion, three hundred eleven million, two hundred thirty-three thousand".