1300003320300 has 144 divisors (see below), whose sum is σ = 3892003395840. Its totient is φ = 334631010560.

The previous prime is 1300003320289. The next prime is 1300003320313. The reversal of 1300003320300 is 30233000031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1300003320300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40378009 + ... + 40410191.

It is an arithmetic number, because the mean of its divisors is an integer number (27027801360).

Almost surely, 2^{1300003320300} is an apocalyptic number.

1300003320300 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 1300003320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946001697920).

1300003320300 is an abundant number, since it is smaller than the sum of its proper divisors (2592000075540).

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

1300003320300 is a wasteful number, since it uses less digits than its factorization.

1300003320300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36872 (or 36865 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 1300003320300 its reverse (30233000031), we get a palindrome (1330236320331).

The spelling of 1300003320300 in words is "one trillion, three hundred billion, three million, three hundred twenty thousand, three hundred".