11111331121 has 64 divisors (see below), whose sum is σ = 13753255680. Its totient is φ = 8856207360.

The previous prime is 11111331083. The next prime is 11111331137. The reversal of 11111331121 is 12113311111.

It is not a de Polignac number, because 11111331121 - 2⁹ = 11111330609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11111331095 and 11111331104.

It is not an unprimeable number, because it can be changed into a prime (11111331151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19256785 + ... + 19257361.

It is an arithmetic number, because the mean of its divisors is an integer number (214894620).

Almost surely, 2^11111331121 is an apocalyptic number.

11111331121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11111331121 is a deficient number, since it is larger than the sum of its proper divisors (2641924559).

11111331121 is a wasteful number, since it uses less digits than its factorization.

11111331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754.

The product of its digits is 18, while the sum is 16.

Adding to 11111331121 its reverse (12113311111), we get a palindrome (23224642232).

The spelling of 11111331121 in words is "eleven billion, one hundred eleven million, three hundred thirty-one thousand, one hundred twenty-one".