11330103400 has 288 divisors, whose sum is σ = 33996797280. Its totient is φ = 3471552000.

The previous prime is 11330103377. The next prime is 11330103403. The reversal of 11330103400 is 430103311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330103403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6574939 + ... + 6576661.

It is an arithmetic number, because the mean of its divisors is an integer number (118044435).

Almost surely, 2^11330103400 is an apocalyptic number.

11330103400 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 11330103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998398640).

11330103400 is an abundant number, since it is smaller than the sum of its proper divisors (22666693880).

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

11330103400 is a wasteful number, since it uses less digits than its factorization.

11330103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11330103400 its reverse (430103311), we get a palindrome (11760206711).

The spelling of 11330103400 in words is "eleven billion, three hundred thirty million, one hundred three thousand, four hundred".