1311113287 has 48 divisors (see below), whose sum is σ = 1631750400. Its totient is φ = 1046707200.

The previous prime is 1311113273. The next prime is 1311113299. The reversal of 1311113287 is 7823111131.

It is not a de Polignac number, because 1311113287 - 2¹⁹ = 1310588999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311119287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1848889 + ... + 1849597.

It is an arithmetic number, because the mean of its divisors is an integer number (33994800).

Almost surely, 2^1311113287 is an apocalyptic number.

1311113287 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1311113287 is a deficient number, since it is larger than the sum of its proper divisors (320637113).

1311113287 is a wasteful number, since it uses less digits than its factorization.

1311113287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its digits is 1008, while the sum is 28.

The square root of 1311113287 is about 36209.2983500095. The cubic root of 1311113287 is about 1094.4940531482.

The spelling of 1311113287 in words is "one billion, three hundred eleven million, one hundred thirteen thousand, two hundred eighty-seven".