11131322220100 has 18 divisors (see below), whose sum is σ = 24154969217834. Its totient is φ = 4452528888000.

The previous prime is 11131322220091. The next prime is 11131322220103. The reversal of 11131322220100 is 102222313111.

11131322220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 3066722884 + 11128255497216 = 55378^2 + 3335904^2 .

It is not an unprimeable number, because it can be changed into a prime (11131322220103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55656611001 + ... + 55656611200.

Almost surely, 2^{11131322220100} is an apocalyptic number.

11131322220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131322220100 is an abundant number, since it is smaller than the sum of its proper divisors (13023646997734).

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

11131322220100 is a wasteful number, since it uses less digits than its factorization.

11131322220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111313222215 (or 111313222208 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11131322220100 its reverse (102222313111), we get a palindrome (11233544533211).

The spelling of 11131322220100 in words is "eleven trillion, one hundred thirty-one billion, three hundred twenty-two million, two hundred twenty thousand, one hundred".