1311011131 has 2 divisors, whose sum is σ = 1311011132. Its totient is φ = 1311011130.

The previous prime is 1311011113. The next prime is 1311011137. The reversal of 1311011131 is 1311101131.

Together with previous prime (1311011113) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1311011131 - 2⁷ = 1311011003 is a prime.

It is a super-2 number, since 2×1311011131² = 3437500371211798322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1311011137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655505565 + 655505566.

It is an arithmetic number, because the mean of its divisors is an integer number (655505566).

Almost surely, 2^1311011131 is an apocalyptic number.

1311011131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311011131 is an equidigital number, since it uses as much as digits as its factorization.

1311011131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 1311011131 is about 36207.8876903914. The cubic root of 1311011131 is about 1094.4656264059.

Adding to 1311011131 its reverse (1311101131), we get a palindrome (2622112262).

Subtracting 1311011131 from its reverse (1311101131), we obtain a square (90000 = 300²).

The spelling of 1311011131 in words is "one billion, three hundred eleven million, eleven thousand, one hundred thirty-one".