12813320 has 64 divisors (see below), whose sum is σ = 31857840. Its totient is φ = 4608000.

The previous prime is 12813301. The next prime is 12813329. The reversal of 12813320 is 2331821.

It can be written as a sum of positive squares in 8 ways, for example, as 2172676 + 10640644 = 1474^2 + 3262^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12813292 and 12813301.

It is not an unprimeable number, because it can be changed into a prime (12813329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21020 + ... + 21620.

Almost surely, 2^12813320 is an apocalyptic number.

12813320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12813320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15928920).

12813320 is an abundant number, since it is smaller than the sum of its proper divisors (19044520).

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

12813320 is a wasteful number, since it uses less digits than its factorization.

12813320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 12813320 is about 3579.5698065550. The cubic root of 12813320 is about 234.0025324196.

The spelling of 12813320 in words is "twelve million, eight hundred thirteen thousand, three hundred twenty".