11131100311121 has 8 divisors (see below), whose sum is σ = 12726469012224. Its totient is φ = 9537034488480.

The previous prime is 11131100311087. The next prime is 11131100311147. The reversal of 11131100311121 is 12111300113111.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11131100311121 - 2⁶ = 11131100311057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11131100311121.

It is not an unprimeable number, because it can be changed into a prime (11131100311021) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 325701305 + ... + 325735478.

It is an arithmetic number, because the mean of its divisors is an integer number (1590808626528).

Almost surely, 2^{11131100311121} is an apocalyptic number.

It is an amenable number.

11131100311121 is a deficient number, since it is larger than the sum of its proper divisors (1595368701103).

11131100311121 is an equidigital number, since it uses as much as digits as its factorization.

11131100311121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651439231.

The product of its (nonzero) digits is 18, while the sum is 17.

Adding to 11131100311121 its reverse (12111300113111), we get a palindrome (23242400424232).

The spelling of 11131100311121 in words is "eleven trillion, one hundred thirty-one billion, one hundred million, three hundred eleven thousand, one hundred twenty-one".