11503201300 has 72 divisors (see below), whose sum is σ = 26792644536. Its totient is φ = 4271247360.

The previous prime is 11503201271. The next prime is 11503201337. The reversal of 11503201300 is 310230511.

It can be written as a sum of positive squares in 12 ways, for example, as 3504403204 + 7998798096 = 59198^2 + 89436^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77754 + ... + 170446.

It is an arithmetic number, because the mean of its divisors is an integer number (372120063).

Almost surely, 2^11503201300 is an apocalyptic number.

11503201300 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 11503201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13396322268).

11503201300 is an abundant number, since it is smaller than the sum of its proper divisors (15289443236).

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

11503201300 is a wasteful number, since it uses less digits than its factorization.

11503201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92797 (or 92790 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 11503201300 its reverse (310230511), we get a palindrome (11813431811).

The spelling of 11503201300 in words is "eleven billion, five hundred three million, two hundred one thousand, three hundred".