11131121100 has 72 divisors (see below), whose sum is σ = 35133876288. Its totient is φ = 2698452800.

The previous prime is 11131121021. The next prime is 11131121129. The reversal of 11131121100 is 112113111.

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 23 ways as a sum of consecutive naturals, for example, 1683234 + ... + 1689833.

It is an arithmetic number, because the mean of its divisors is an integer number (487970504).

Almost surely, 2^11131121100 is an apocalyptic number.

11131121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11131121100 is an abundant number, since it is smaller than the sum of its proper divisors (24002755188).

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

11131121100 is a wasteful number, since it uses less digits than its factorization.

11131121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3373095 (or 3373088 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11131121100 its reverse (112113111), we get a palindrome (11243234211).

It can be divided in two parts, 11131 and 121100, that added together give a palindrome (132231).

The spelling of 11131121100 in words is "eleven billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred".