1311011111121 has 16 divisors (see below), whose sum is σ = 1795298904000. Its totient is φ = 850366427328.

The previous prime is 1311011111107. The next prime is 1311011111149. The reversal of 1311011111121 is 1211111101131.

It is a happy number.

It is not a de Polignac number, because 1311011111121 - 2⁷ = 1311011110993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1311011111121.

It is not an unprimeable number, because it can be changed into a prime (1311011111621) 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 15 ways as a sum of consecutive naturals, for example, 6144295 + ... + 6354083.

It is an arithmetic number, because the mean of its divisors is an integer number (112206181500).

Almost surely, 2^{1311011111121} is an apocalyptic number.

It is an amenable number.

1311011111121 is a deficient number, since it is larger than the sum of its proper divisors (484287792879).

1311011111121 is a wasteful number, since it uses less digits than its factorization.

1311011111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266128.

The product of its (nonzero) digits is 6, while the sum is 15.

Adding to 1311011111121 its reverse (1211111101131), we get a palindrome (2522122212252).

The spelling of 1311011111121 in words is "one trillion, three hundred eleven billion, eleven million, one hundred eleven thousand, one hundred twenty-one".