1313330420 has 12 divisors (see below), whose sum is σ = 2757993924. Its totient is φ = 525332160.

The previous prime is 1313330387. The next prime is 1313330441. The reversal of 1313330420 is 240333131.

It can be written as a sum of positive squares in 2 ways, for example, as 316412944 + 996917476 = 17788^2 + 31574^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 65666521 = 1313330420 / (1 + 3 + 1 + 3 + 3 + 3 + 0 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1313330392 and 1313330401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32833241 + ... + 32833280.

It is an arithmetic number, because the mean of its divisors is an integer number (229832827).

Almost surely, 2^1313330420 is an apocalyptic number.

1313330420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313330420 is an abundant number, since it is smaller than the sum of its proper divisors (1444663504).

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

1313330420 is a wasteful number, since it uses less digits than its factorization.

1313330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65666530 (or 65666528 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1313330420 is about 36239.9009380545. The cubic root of 1313330420 is about 1095.1106467842.

Adding to 1313330420 its reverse (240333131), we get a palindrome (1553663551).

The spelling of 1313330420 in words is "one billion, three hundred thirteen million, three hundred thirty thousand, four hundred twenty".