1311433040 has 40 divisors (see below), whose sum is σ = 3228442920. Its totient is φ = 493715456.

The previous prime is 1311433033. The next prime is 1311433051. The reversal of 1311433040 is 403341131.

It can be written as a sum of positive squares in 4 ways, for example, as 117592336 + 1193840704 = 10844^2 + 34552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 480785 + ... + 483504.

It is an arithmetic number, because the mean of its divisors is an integer number (80711073).

Almost surely, 2^1311433040 is an apocalyptic number.

1311433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311433040 is an abundant number, since it is smaller than the sum of its proper divisors (1917009880).

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

1311433040 is a wasteful number, since it uses less digits than its factorization.

1311433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964319 (or 964313 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1311433040 is about 36213.7134246131. The cubic root of 1311433040 is about 1094.5830206219.

Adding to 1311433040 its reverse (403341131), we get a palindrome (1714774171).

The spelling of 1311433040 in words is "one billion, three hundred eleven million, four hundred thirty-three thousand, forty".