1301320000 has 70 divisors (see below), whose sum is σ = 3226949858. Its totient is φ = 520512000.

The previous prime is 1301319947. The next prime is 1301320003. The reversal of 1301320000 is 231031.

It can be written as a sum of positive squares in 5 ways, for example, as 652904704 + 648415296 = 25552^2 + 25464^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301320003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 23734 + ... + 56266.

Almost surely, 2^1301320000 is an apocalyptic number.

1301320000 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 1301320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613474929).

1301320000 is an abundant number, since it is smaller than the sum of its proper divisors (1925629858).

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

1301320000 is an frugal number, since it uses more digits than its factorization.

1301320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32565 (or 32540 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1301320000 is about 36073.8132167920. The cubic root of 1301320000 is about 1091.7621526200.

Adding to 1301320000 its reverse (231031), we get a palindrome (1301551031).

The spelling of 1301320000 in words is "one billion, three hundred one million, three hundred twenty thousand".