11331101000 has 64 divisors (see below), whose sum is σ = 26531696880. Its totient is φ = 4529548800.

The previous prime is 11331100961. The next prime is 11331101029. The reversal of 11331101000 is 10113311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 53085796 + 11278015204 = 7286^2 + 106198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2294534 + ... + 2299466.

Almost surely, 2^11331101000 is an apocalyptic number.

11331101000 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 11331101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265848440).

11331101000 is an abundant number, since it is smaller than the sum of its proper divisors (15200595880).

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

11331101000 is a wasteful number, since it uses less digits than its factorization.

11331101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251 (or 7237 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 11331101000 its reverse (10113311), we get a palindrome (11341214311).

The spelling of 11331101000 in words is "eleven billion, three hundred thirty-one million, one hundred one thousand".