1311133344 has 48 divisors (see below), whose sum is σ = 3552756480. Its totient is φ = 422945280.

The previous prime is 1311133319. The next prime is 1311133349. The reversal of 1311133344 is 4433311131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1311133349) 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 7 ways as a sum of consecutive naturals, for example, 217309 + ... + 223260.

It is an arithmetic number, because the mean of its divisors is an integer number (74015760).

Almost surely, 2^1311133344 is an apocalyptic number.

It is an amenable number.

1311133344 is an abundant number, since it is smaller than the sum of its proper divisors (2241623136).

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

1311133344 is a wasteful number, since it uses less digits than its factorization.

1311133344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440613 (or 440605 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 1311133344 is about 36209.5753081971. The cubic root of 1311133344 is about 1094.4996341953.

Adding to 1311133344 its reverse (4433311131), we get a palindrome (5744444475).

The spelling of 1311133344 in words is "one billion, three hundred eleven million, one hundred thirty-three thousand, three hundred forty-four".