1121011103311 has 16 divisors (see below), whose sum is σ = 1226314346400. Its totient is φ = 1016274816000.

The previous prime is 1121011103297. The next prime is 1121011103357. The reversal of 1121011103311 is 1133011101211.

It is a cyclic number.

It is not a de Polignac number, because 1121011103311 - 2²⁵ = 1120977548879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121011103371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16591345 + ... + 16658773.

It is an arithmetic number, because the mean of its divisors is an integer number (76644646650).

Almost surely, 2^{1121011103311} is an apocalyptic number.

1121011103311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121011103311 is a deficient number, since it is larger than the sum of its proper divisors (105303243089).

1121011103311 is a wasteful number, since it uses less digits than its factorization.

1121011103311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71610.

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

Adding to 1121011103311 its reverse (1133011101211), we get a palindrome (2254022204522).

The spelling of 1121011103311 in words is "one trillion, one hundred twenty-one billion, eleven million, one hundred three thousand, three hundred eleven".