11003201030400 has 864 divisors, whose sum is σ = 38679056381952. Its totient is φ = 2748830515200.

The previous prime is 11003201030363. The next prime is 11003201030431. The reversal of 11003201030400 is 403010230011.

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 11003201030400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5110635724 + ... + 5110637876.

It is an arithmetic number, because the mean of its divisors is an integer number (44767426368).

Almost surely, 2^{11003201030400} is an apocalyptic number.

11003201030400 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 11003201030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339528190976).

11003201030400 is an abundant number, since it is smaller than the sum of its proper divisors (27675855351552).

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

11003201030400 is a wasteful number, since it uses less digits than its factorization.

11003201030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11003201030400 its reverse (403010230011), we get a palindrome (11406211260411).

The spelling of 11003201030400 in words is "eleven trillion, three billion, two hundred one million, thirty thousand, four hundred".