1300221000 has 192 divisors, whose sum is σ = 4733230320. Its totient is φ = 320025600.

The previous prime is 1300220993. The next prime is 1300221011. The reversal of 1300221000 is 1220031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 174081636 + 1126139364 = 13194^2 + 33558^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111444 + ... + 122556.

Almost surely, 2^1300221000 is an apocalyptic number.

1300221000 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 1300221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2366615160).

1300221000 is an abundant number, since it is smaller than the sum of its proper divisors (3433009320).

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

1300221000 is a wasteful number, since it uses less digits than its factorization.

1300221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11153 (or 11136 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1300221000 is about 36058.5773429846. The cubic root of 1300221000 is about 1091.4547251536.

Adding to 1300221000 its reverse (1220031), we get a palindrome (1301441031).

The spelling of 1300221000 in words is "one billion, three hundred million, two hundred twenty-one thousand".