11300310232304 has 80 divisors (see below), whose sum is σ = 23514571908576. Its totient is φ = 5241999360000.

The previous prime is 11300310232273. The next prime is 11300310232307. The reversal of 11300310232304 is 40323201300311.

11300310232304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11300310232304² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11300310232304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300310232307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5769194 + ... + 7475574.

Almost surely, 2^{11300310232304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300310232304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11757285954288).

11300310232304 is an abundant number, since it is smaller than the sum of its proper divisors (12214261676272).

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

11300310232304 is a wasteful number, since it uses less digits than its factorization.

11300310232304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706754 (or 1706748 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 11300310232304 its reverse (40323201300311), we get a palindrome (51623511532615).

The spelling of 11300310232304 in words is "eleven trillion, three hundred billion, three hundred ten million, two hundred thirty-two thousand, three hundred four".