1311003135 has 144 divisors (see below), whose sum is σ = 2662957440. Its totient is φ = 594397440.

The previous prime is 1311003119. The next prime is 1311003139. The reversal of 1311003135 is 5313001131.

It is not a de Polignac number, because 1311003135 - 2⁴ = 1311003119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311003139) 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 143 ways as a sum of consecutive naturals, for example, 6213180 + ... + 6213390.

It is an arithmetic number, because the mean of its divisors is an integer number (18492760).

Almost surely, 2^1311003135 is an apocalyptic number.

1311003135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1311003135 is an abundant number, since it is smaller than the sum of its proper divisors (1351954305).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311003135 is a wasteful number, since it uses less digits than its factorization.

1311003135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 1311003135 is about 36207.7772722933. Note that the first 3 decimals coincide. The cubic root of 1311003135 is about 1094.4634013129.

Adding to 1311003135 its reverse (5313001131), we get a palindrome (6624004266).

The spelling of 1311003135 in words is "one billion, three hundred eleven million, three thousand, one hundred thirty-five".