1313212320 has 144 divisors (see below), whose sum is σ = 5121567360. Its totient is φ = 300160512.

The previous prime is 1313212291. The next prime is 1313212367. The reversal of 1313212320 is 232123131.

1313212320 is a `hidden beast` number, since 131 + 3 + 212 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 1313212293 and 1313212302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55060 + ... + 75219.

It is an arithmetic number, because the mean of its divisors is an integer number (35566440).

Almost surely, 2^1313212320 is an apocalyptic number.

1313212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313212320 is an abundant number, since it is smaller than the sum of its proper divisors (3808355040).

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

1313212320 is a wasteful number, since it uses less digits than its factorization.

1313212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130307 (or 130296 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1313212320 is about 36238.2714819568. The cubic root of 1313212320 is about 1095.0778202027.

Adding to 1313212320 its reverse (232123131), we get a palindrome (1545335451).

It can be divided in two parts, 13132 and 12320, that added together give a palindrome (25452).

The spelling of 1313212320 in words is "one billion, three hundred thirteen million, two hundred twelve thousand, three hundred twenty".