11330144100 has 216 divisors, whose sum is σ = 38814703200. Its totient is φ = 2741568000.

The previous prime is 11330144053. The next prime is 11330144131. The reversal of 11330144100 is 144103311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10384555 + ... + 10385645.

It is an arithmetic number, because the mean of its divisors is an integer number (179697700).

Almost surely, 2^11330144100 is an apocalyptic number.

11330144100 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 11330144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19407351600).

11330144100 is an abundant number, since it is smaller than the sum of its proper divisors (27484559100).

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

11330144100 is a wasteful number, since it uses less digits than its factorization.

11330144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2171 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11330144100 its reverse (144103311), we get a palindrome (11474247411).

The spelling of 11330144100 in words is "eleven billion, three hundred thirty million, one hundred forty-four thousand, one hundred".