1311133005 has 48 divisors (see below), whose sum is σ = 2797092480. Its totient is φ = 553267584.

The previous prime is 1311133001. The next prime is 1311133013. The reversal of 1311133005 is 5003311131.

It is not a de Polignac number, because 1311133005 - 2² = 1311133001 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311133001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155995 + ... + 164184.

It is an arithmetic number, because the mean of its divisors is an integer number (58272760).

Almost surely, 2^1311133005 is an apocalyptic number.

1311133005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311133005 is an abundant number, since it is smaller than the sum of its proper divisors (1485959475).

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

1311133005 is a wasteful number, since it uses less digits than its factorization.

1311133005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320210 (or 320207 counting only the distinct ones).

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

The square root of 1311133005 is about 36209.5706271146. The cubic root of 1311133005 is about 1094.4995398659.

Adding to 1311133005 its reverse (5003311131), we get a palindrome (6314444136).

The spelling of 1311133005 in words is "one billion, three hundred eleven million, one hundred thirty-three thousand, five".