11312213200300 has 144 divisors (see below), whose sum is σ = 26700596552448. Its totient is φ = 4142582784000.

The previous prime is 11312213200297. The next prime is 11312213200313. The reversal of 11312213200300 is 300231221311.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280325125 + ... + 280365475.

It is an arithmetic number, because the mean of its divisors is an integer number (185420809392).

Almost surely, 2^{11312213200300} is an apocalyptic number.

11312213200300 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 11312213200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13350298276224).

11312213200300 is an abundant number, since it is smaller than the sum of its proper divisors (15388383352148).

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

11312213200300 is a wasteful number, since it uses less digits than its factorization.

11312213200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44876 (or 44869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 11312213200300 its reverse (300231221311), we get a palindrome (11612444421611).

The spelling of 11312213200300 in words is "eleven trillion, three hundred twelve billion, two hundred thirteen million, two hundred thousand, three hundred".