1300003320 has 384 divisors, whose sum is σ = 5023296000. Its totient is φ = 266112000.

The previous prime is 1300003303. The next prime is 1300003333. The reversal of 1300003320 is 233000031.

It is a happy number.

It is a super-2 number, since 2×1300003320² = 3380017264022044800, which contains 22 as substring.

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 = 1300003296 and 1300003305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6532581 + ... + 6532779.

It is an arithmetic number, because the mean of its divisors is an integer number (13081500).

Almost surely, 2^1300003320 is an apocalyptic number.

1300003320 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 1300003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511648000).

1300003320 is an abundant number, since it is smaller than the sum of its proper divisors (3723292680).

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

1300003320 is a wasteful number, since it uses less digits than its factorization.

1300003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 1300003320 is about 36055.5587947268. The cubic root of 1300003320 is about 1091.3938121435.

Adding to 1300003320 its reverse (233000031), we get a palindrome (1533003351).

The spelling of 1300003320 in words is "one billion, three hundred million, three thousand, three hundred twenty".