11310033132100 has 36 divisors (see below), whose sum is σ = 24547283787348. Its totient is φ = 4523181568000.

The previous prime is 11310033132071. The next prime is 11310033132137. The reversal of 11310033132100 is 123133001311.

It can be written as a sum of positive squares in 6 ways, for example, as 806522540356 + 10503510591744 = 898066^2 + 3240912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9849241 + ... + 10937440.

It is an arithmetic number, because the mean of its divisors is an integer number (681868994093).

Almost surely, 2^{11310033132100} is an apocalyptic number.

11310033132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310033132100 is an abundant number, since it is smaller than the sum of its proper divisors (13237250655248).

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

11310033132100 is a wasteful number, since it uses less digits than its factorization.

11310033132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20792136 (or 20792129 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11310033132100 its reverse (123133001311), we get a palindrome (11433166133411).

The spelling of 11310033132100 in words is "eleven trillion, three hundred ten billion, thirty-three million, one hundred thirty-two thousand, one hundred".