1303020320 has 192 divisors, whose sum is σ = 3621252096. Its totient is φ = 433904640.

The previous prime is 1303020307. The next prime is 1303020337. The reversal of 1303020320 is 230203031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1303020295 and 1303020304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9946655 + ... + 9946785.

It is an arithmetic number, because the mean of its divisors is an integer number (18860688).

Almost surely, 2^1303020320 is an apocalyptic number.

1303020320 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 1303020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810626048).

1303020320 is an abundant number, since it is smaller than the sum of its proper divisors (2318231776).

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

1303020320 is a wasteful number, since it uses less digits than its factorization.

1303020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1303020320 is about 36097.3727575844. The cubic root of 1303020320 is about 1092.2374487558.

Adding to 1303020320 its reverse (230203031), we get a palindrome (1533223351).

The spelling of 1303020320 in words is "one billion, three hundred three million, twenty thousand, three hundred twenty".