11300400300 has 144 divisors (see below), whose sum is σ = 38072063232. Its totient is φ = 2534188800.

The previous prime is 11300400299. The next prime is 11300400311. The reversal of 11300400300 is 300400311.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 60535 + ... + 162065.

It is an arithmetic number, because the mean of its divisors is an integer number (264389328).

Almost surely, 2^11300400300 is an apocalyptic number.

11300400300 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 11300400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19036031616).

11300400300 is an abundant number, since it is smaller than the sum of its proper divisors (26771662932).

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

11300400300 is a wasteful number, since it uses less digits than its factorization.

11300400300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101608 (or 101601 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11300400300 its reverse (300400311), we get a palindrome (11600800611).

The spelling of 11300400300 in words is "eleven billion, three hundred million, four hundred thousand, three hundred".