11031300900 has 189 divisors, whose sum is σ = 35982966691. Its totient is φ = 2934118080.

The previous prime is 11031300881. The next prime is 11031300911. The reversal of 11031300900 is 900313011.

The square root of 11031300900 is 105030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1833723684 + 9197577216 = 42822^2 + 95904^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 28357906 + ... + 28358294.

Almost surely, 2^11031300900 is an apocalyptic number.

11031300900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11031300900 is the 105030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11031300900

11031300900 is an abundant number, since it is smaller than the sum of its proper divisors (24951665791).

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

11031300900 is an frugal number, since it uses more digits than its factorization.

11031300900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Multiplying 11031300900 by its product of nonzero digits (81), we get a square (893535372900 = 945270²).

11031300900 divided by its product of nonzero digits (81) gives a square (136188900 = 11670²).

Adding to 11031300900 its reverse (900313011), we get a palindrome (11931613911).

The spelling of 11031300900 in words is "eleven billion, thirty-one million, three hundred thousand, nine hundred".