11103314001400 has 192 divisors, whose sum is σ = 27944509651200. Its totient is φ = 4092996096000.

The previous prime is 11103314001389. The next prime is 11103314001413. The reversal of 11103314001400 is 410041330111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12702430 + ... + 13548370.

It is an arithmetic number, because the mean of its divisors is an integer number (145544321100).

Almost surely, 2^{11103314001400} is an apocalyptic number.

11103314001400 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 11103314001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972254825600).

11103314001400 is an abundant number, since it is smaller than the sum of its proper divisors (16841195649800).

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

11103314001400 is a wasteful number, since it uses less digits than its factorization.

11103314001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846090 (or 846081 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11103314001400 its reverse (410041330111), we get a palindrome (11513355331511).

The spelling of 11103314001400 in words is "eleven trillion, one hundred three billion, three hundred fourteen million, one thousand, four hundred".