1101110131121 has 48 divisors (see below), whose sum is σ = 1570240764288. Its totient is φ = 757572076800.

The previous prime is 1101110131117. The next prime is 1101110131141. The reversal of 1101110131121 is 1211310111011.

It is not a de Polignac number, because 1101110131121 - 2² = 1101110131117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1101110131096 and 1101110131105.

It is not an unprimeable number, because it can be changed into a prime (1101110131141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3255020 + ... + 3577341.

It is an arithmetic number, because the mean of its divisors is an integer number (32713349256).

Almost surely, 2^{1101110131121} is an apocalyptic number.

1101110131121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101110131121 is a deficient number, since it is larger than the sum of its proper divisors (469130633167).

1101110131121 is a wasteful number, since it uses less digits than its factorization.

1101110131121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832422 (or 6832415 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 1101110131121 its reverse (1211310111011), we get a palindrome (2312420242132).

The spelling of 1101110131121 in words is "one trillion, one hundred one billion, one hundred ten million, one hundred thirty-one thousand, one hundred twenty-one".