1301334320 has 160 divisors (see below), whose sum is σ = 3742260480. Its totient is φ = 413752320.

The previous prime is 1301334317. The next prime is 1301334347. The reversal of 1301334320 is 234331031.

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 = 1301334292 and 1301334301.

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, 214367 + ... + 220353.

It is an arithmetic number, because the mean of its divisors is an integer number (23389128).

Almost surely, 2^1301334320 is an apocalyptic number.

1301334320 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 1301334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871130240).

1301334320 is an abundant number, since it is smaller than the sum of its proper divisors (2440926160).

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

1301334320 is a wasteful number, since it uses less digits than its factorization.

1301334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6037 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1301334320 is about 36074.0116981741. The cubic root of 1301334320 is about 1091.7661572657.

Adding to 1301334320 its reverse (234331031), we get a palindrome (1535665351).

The spelling of 1301334320 in words is "one billion, three hundred one million, three hundred thirty-four thousand, three hundred twenty".