1301320320 has 256 divisors, whose sum is σ = 4334722560. Its totient is φ = 331776000.

The previous prime is 1301320313. The next prime is 1301320327. The reversal of 1301320320 is 230231031.

It is an interprime number because it is at equal distance from previous prime (1301320313) and next prime (1301320327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1301320320.

It is not an unprimeable number, because it can be changed into a prime (1301320327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4801785 + ... + 4802055.

It is an arithmetic number, because the mean of its divisors is an integer number (16932510).

Almost surely, 2^1301320320 is an apocalyptic number.

1301320320 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 1301320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167361280).

1301320320 is an abundant number, since it is smaller than the sum of its proper divisors (3033402240).

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

1301320320 is a wasteful number, since it uses less digits than its factorization.

1301320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 1301320320 is about 36073.8176521421. The cubic root of 1301320320 is about 1091.7622421096.

Adding to 1301320320 its reverse (230231031), we get a palindrome (1531551351).

It can be divided in two parts, 13013 and 20320, that added together give a palindrome (33333).

The spelling of 1301320320 in words is "one billion, three hundred one million, three hundred twenty thousand, three hundred twenty".