1301312320 has 112 divisors (see below), whose sum is σ = 3863449728. Its totient is φ = 405596160.

The previous prime is 1301312281. The next prime is 1301312321. The reversal of 1301312320 is 232131031.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1301312294 and 1301312303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301312321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1767 + ... + 51046.

Almost surely, 2^1301312320 is an apocalyptic number.

1301312320 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 1301312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931724864).

1301312320 is an abundant number, since it is smaller than the sum of its proper divisors (2562137408).

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

1301312320 is a wasteful number, since it uses less digits than its factorization.

1301312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52848 (or 52838 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1301312320 is about 36073.7067682266. The cubic root of 1301312320 is about 1091.7600048650.

Adding to 1301312320 its reverse (232131031), we get a palindrome (1533443351).

The spelling of 1301312320 in words is "one billion, three hundred one million, three hundred twelve thousand, three hundred twenty".