1313144640 has 84 divisors (see below), whose sum is σ = 4516680324. Its totient is φ = 350171136.

The previous prime is 1313144629. The next prime is 1313144669. The reversal of 1313144640 is 464413131.

1313144640 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 14 + 4 + 640 = 666.

1313144640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 826677504 + 486467136 = 28752^2 + 22056^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225097 + ... + 230856.

Almost surely, 2^1313144640 is an apocalyptic number.

1313144640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313144640 is an abundant number, since it is smaller than the sum of its proper divisors (3203535684).

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

1313144640 is a wasteful number, since it uses less digits than its factorization.

1313144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455976 (or 455963 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1313144640 is about 36237.3376505504. The cubic root of 1313144640 is about 1095.0590072662.

Adding to 1313144640 its reverse (464413131), we get a palindrome (1777557771).

The spelling of 1313144640 in words is "one billion, three hundred thirteen million, one hundred forty-four thousand, six hundred forty".