11313322322300 has 72 divisors (see below), whose sum is σ = 24891760231632. Its totient is φ = 4462672000000.

The previous prime is 11313322322251. The next prime is 11313322322369. The reversal of 11313322322300 is 322322331311.

11313322322300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11313322322300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303764 + ... + 4766436.

It is an arithmetic number, because the mean of its divisors is an integer number (345718892106).

Almost surely, 2^{11313322322300} is an apocalyptic number.

11313322322300 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 11313322322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12445880115816).

11313322322300 is an abundant number, since it is smaller than the sum of its proper divisors (13578437909332).

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

11313322322300 is a wasteful number, since it uses less digits than its factorization.

11313322322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463039 (or 4463032 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 11313322322300 its reverse (322322331311), we get a palindrome (11635644653611).

The spelling of 11313322322300 in words is "eleven trillion, three hundred thirteen billion, three hundred twenty-two million, three hundred twenty-two thousand, three hundred".