11103143330400 has 288 divisors, whose sum is σ = 39439329971328. Its totient is φ = 2690778316800.

The previous prime is 11103143330399. The next prime is 11103143330401. The reversal of 11103143330400 is 403334130111.

It is an interprime number because it is at equal distance from previous prime (11103143330399) and next prime (11103143330401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11103143330401) 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, 81322992 + ... + 81459408.

It is an arithmetic number, because the mean of its divisors is an integer number (136942117956).

Almost surely, 2^{11103143330400} is an apocalyptic number.

11103143330400 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 11103143330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19719664985664).

11103143330400 is an abundant number, since it is smaller than the sum of its proper divisors (28336186640928).

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

11103143330400 is a wasteful number, since it uses less digits than its factorization.

11103143330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139534 (or 139521 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11103143330400 its reverse (403334130111), we get a palindrome (11506477460511).

The spelling of 11103143330400 in words is "eleven trillion, one hundred three billion, one hundred forty-three million, three hundred thirty thousand, four hundred".