11100005021300 has 36 divisors (see below), whose sum is σ = 25939857891276. Its totient is φ = 4098463392000.

The previous prime is 11100005021299. The next prime is 11100005021311. The reversal of 11100005021300 is 312050000111.

It can be written as a sum of positive squares in 6 ways, for example, as 686335204 + 11099318686096 = 26198^2 + 3331564^2 .

It is a super-2 number, since 2×11100005021300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4269231401 + ... + 4269234000.

It is an arithmetic number, because the mean of its divisors is an integer number (720551608091).

Almost surely, 2^{11100005021300} is an apocalyptic number.

11100005021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11100005021300 is an abundant number, since it is smaller than the sum of its proper divisors (14839852869976).

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

11100005021300 is a wasteful number, since it uses less digits than its factorization.

11100005021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8538465428 (or 8538465421 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 11100005021300 its reverse (312050000111), we get a palindrome (11412055021411).

The spelling of 11100005021300 in words is "eleven trillion, one hundred billion, five million, twenty-one thousand, three hundred".