1111111113121 has 2 divisors, whose sum is σ = 1111111113122. Its totient is φ = 1111111113120.

The previous prime is 1111111113109. The next prime is 1111111113313. The reversal of 1111111113121 is 1213111111111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 672687030625 + 438424082496 = 820175^2 + 662136^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111111113121 - 2¹⁵ = 1111111080353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1111111113095 and 1111111113104.

It is not a weakly prime, because it can be changed into another prime (1111111110121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555555556560 + 555555556561.

It is an arithmetic number, because the mean of its divisors is an integer number (555555556561).

Almost surely, 2^{1111111113121} is an apocalyptic number.

It is an amenable number.

1111111113121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111111113121 is an equidigital number, since it uses as much as digits as its factorization.

1111111113121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6, while the sum is 16.

Adding to 1111111113121 its reverse (1213111111111), we get a palindrome (2324222224232).

The spelling of 1111111113121 in words is "one trillion, one hundred eleven billion, one hundred eleven million, one hundred thirteen thousand, one hundred twenty-one".