11301030000 has 450 divisors, whose sum is σ = 42852888936. Its totient is φ = 2778048000.

The previous prime is 11301029977. The next prime is 11301030001. The reversal of 11301030000 is 3010311.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11301030001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 15209629 + ... + 15210371.

Almost surely, 2^11301030000 is an apocalyptic number.

11301030000 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 11301030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21426444468).

11301030000 is an abundant number, since it is smaller than the sum of its proper divisors (31551858936).

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

11301030000 is a wasteful number, since it uses less digits than its factorization.

11301030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 766 counting only the distinct ones).

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

Adding to 11301030000 its reverse (3010311), we get a palindrome (11304040311).

The spelling of 11301030000 in words is "eleven billion, three hundred one million, thirty thousand".