1101133231011 has 12 divisors (see below), whose sum is σ = 1735119030840. Its totient is φ = 667353473280.

The previous prime is 1101133231007. The next prime is 1101133231021. The reversal of 1101133231011 is 1101323311011.

1101133231011 is a `hidden beast` number, since 1 + 1 + 0 + 11 + 332 + 310 + 11 = 666.

It is not a de Polignac number, because 1101133231011 - 2² = 1101133231007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1101133231021) by changing a digit.

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, 5561278846 + ... + 5561279043.

It is an arithmetic number, because the mean of its divisors is an integer number (144593252570).

Almost surely, 2^{1101133231011} is an apocalyptic number.

1101133231011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101133231011 is a deficient number, since it is larger than the sum of its proper divisors (633985799829).

1101133231011 is a wasteful number, since it uses less digits than its factorization.

1101133231011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122557906 (or 11122557903 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1101133231011 its reverse (1101323311011), we get a palindrome (2202456542022).

The spelling of 1101133231011 in words is "one trillion, one hundred one billion, one hundred thirty-three million, two hundred thirty-one thousand, eleven".