11310130000 has 300 divisors, whose sum is σ = 31252236708. Its totient is φ = 3939840000.

The previous prime is 11310129991. The next prime is 11310130033. The reversal of 11310130000 is 3101311.

It can be written as a sum of positive squares in 10 ways, for example, as 9272149264 + 2037980736 = 96292^2 + 45144^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 46929880 + ... + 46930120.

Almost surely, 2^11310130000 is an apocalyptic number.

11310130000 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 11310130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626118354).

11310130000 is an abundant number, since it is smaller than the sum of its proper divisors (19942106708).

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

11310130000 is a wasteful number, since it uses less digits than its factorization.

11310130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11310130000 its reverse (3101311), we get a palindrome (11313231311).

The spelling of 11310130000 in words is "eleven billion, three hundred ten million, one hundred thirty thousand".