1311330361 has 24 divisors (see below), whose sum is σ = 1466277120. Its totient is φ = 1171705920.

The previous prime is 1311330331. The next prime is 1311330367. The reversal of 1311330361 is 1630331131.

It is not a de Polignac number, because 1311330361 - 2¹⁵ = 1311297593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1311330367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2832016 + ... + 2832478.

It is an arithmetic number, because the mean of its divisors is an integer number (61094880).

Almost surely, 2^1311330361 is an apocalyptic number.

1311330361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1311330361 is a deficient number, since it is larger than the sum of its proper divisors (154946759).

1311330361 is a wasteful number, since it uses less digits than its factorization.

1311330361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

The square root of 1311330361 is about 36212.2957156820. The cubic root of 1311330361 is about 1094.5544529864.

Adding to 1311330361 its reverse (1630331131), we get a palindrome (2941661492).

The spelling of 1311330361 in words is "one billion, three hundred eleven million, three hundred thirty thousand, three hundred sixty-one".