1311111101 has 2 divisors, whose sum is σ = 1311111102. Its totient is φ = 1311111100.

The previous prime is 1311111059. The next prime is 1311111103. The reversal of 1311111101 is 1011111131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1288738201 + 22372900 = 35899^2 + 4730^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311111101 - 2⁶ = 1311111037 is a prime.

Together with 1311111103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1311111103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655555550 + 655555551.

It is an arithmetic number, because the mean of its divisors is an integer number (655555551).

Almost surely, 2^1311111101 is an apocalyptic number.

It is an amenable number.

1311111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311111101 is an equidigital number, since it uses as much as digits as its factorization.

1311111101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 11.

The square root of 1311111101 is about 36209.2681643802. The cubic root of 1311111101 is about 1094.4934448699.

Adding to 1311111101 its reverse (1011111131), we get a palindrome (2322222232).

The spelling of 1311111101 in words is "one billion, three hundred eleven million, one hundred eleven thousand, one hundred one".