11310344344300 has 72 divisors (see below), whose sum is σ = 24717452915792. Its totient is φ = 4492140768000.

The previous prime is 11310344344291. The next prime is 11310344344307. The reversal of 11310344344300 is 344344301311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11310344344307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11152390 + ... + 12124210.

Almost surely, 2^{11310344344300} is an apocalyptic number.

11310344344300 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 11310344344300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12358726457896).

11310344344300 is an abundant number, since it is smaller than the sum of its proper divisors (13407108571492).

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

11310344344300 is a wasteful number, since it uses less digits than its factorization.

11310344344300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972659 (or 972652 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 11310344344300 its reverse (344344301311), we get a palindrome (11654688645611).

The spelling of 11310344344300 in words is "eleven trillion, three hundred ten billion, three hundred forty-four million, three hundred forty-four thousand, three hundred".