1300201320 has 128 divisors (see below), whose sum is σ = 4354352640. Its totient is φ = 307856640.

The previous prime is 1300201297. The next prime is 1300201337. The reversal of 1300201320 is 231020031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1300201296 and 1300201305.

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, 45307 + ... + 68213.

It is an arithmetic number, because the mean of its divisors is an integer number (34018380).

Almost surely, 2^1300201320 is an apocalyptic number.

1300201320 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 1300201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177176320).

1300201320 is an abundant number, since it is smaller than the sum of its proper divisors (3054151320).

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

1300201320 is a wasteful number, since it uses less digits than its factorization.

1300201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22975 (or 22971 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1300201320 is about 36058.3044526500. The cubic root of 1300201320 is about 1091.4492184135.

Adding to 1300201320 its reverse (231020031), we get a palindrome (1531221351).

The spelling of 1300201320 in words is "one billion, three hundred million, two hundred one thousand, three hundred twenty".