1303131311 has 8 divisors (see below), whose sum is σ = 1381096080. Its totient is φ = 1225312128.

The previous prime is 1303131281. The next prime is 1303131317. The reversal of 1303131311 is 1131313031.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1303131311 - 2³⁰ = 229389487 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1303131311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303131317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17681 + ... + 54026.

It is an arithmetic number, because the mean of its divisors is an integer number (172637010).

Almost surely, 2^1303131311 is an apocalyptic number.

1303131311 is a deficient number, since it is larger than the sum of its proper divisors (77964769).

1303131311 is a wasteful number, since it uses less digits than its factorization.

1303131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72793.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1303131311 is about 36098.9101082013. The cubic root of 1303131311 is about 1092.2684600616.

Adding to 1303131311 its reverse (1131313031), we get a palindrome (2434444342).

The spelling of 1303131311 in words is "one billion, three hundred three million, one hundred thirty-one thousand, three hundred eleven".