1311413040 has 120 divisors (see below), whose sum is σ = 5033347488. Its totient is φ = 299750400.

The previous prime is 1311413039. The next prime is 1311413069. The reversal of 1311413040 is 403141131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1311413040² = 3439608322964083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 125061 + ... + 135140.

Almost surely, 2^1311413040 is an apocalyptic number.

1311413040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1311413040 is an abundant number, since it is smaller than the sum of its proper divisors (3721934448).

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

1311413040 is a wasteful number, since it uses less digits than its factorization.

1311413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260227 (or 260218 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1311413040 is about 36213.4372850742. The cubic root of 1311413040 is about 1094.5774562835.

Adding to 1311413040 its reverse (403141131), we get a palindrome (1714554171).

The spelling of 1311413040 in words is "one billion, three hundred eleven million, four hundred thirteen thousand, forty".