11023331100 has 144 divisors (see below), whose sum is σ = 32249685888. Its totient is φ = 2906991360.

The previous prime is 11023331071. The next prime is 11023331101. The reversal of 11023331100 is 113332011.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11023331100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023331101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13328887 + ... + 13329713.

It is an arithmetic number, because the mean of its divisors is an integer number (223956152).

Almost surely, 2^11023331100 is an apocalyptic number.

11023331100 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 11023331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124842944).

11023331100 is an abundant number, since it is smaller than the sum of its proper divisors (21226354788).

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

11023331100 is a wasteful number, since it uses less digits than its factorization.

11023331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1277 counting only the distinct ones).

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

Adding to 11023331100 its reverse (113332011), we get a palindrome (11136663111).

The spelling of 11023331100 in words is "eleven billion, twenty-three million, three hundred thirty-one thousand, one hundred".