1013320304300 has 72 divisors (see below), whose sum is σ = 2221130963520. Its totient is φ = 401232832000.

The previous prime is 1013320304263. The next prime is 1013320304309. The reversal of 1013320304300 is 34030233101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1013320304309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 80884637 + ... + 80897163.

It is an arithmetic number, because the mean of its divisors is an integer number (30849041160).

Almost surely, 2^{1013320304300} is an apocalyptic number.

1013320304300 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 1013320304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110565481760).

1013320304300 is an abundant number, since it is smaller than the sum of its proper divisors (1207810659220).

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

1013320304300 is a wasteful number, since it uses less digits than its factorization.

1013320304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20651 (or 20644 counting only the distinct ones).

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

Adding to 1013320304300 its reverse (34030233101), we get a palindrome (1047350537401).

The spelling of 1013320304300 in words is "one trillion, thirteen billion, three hundred twenty million, three hundred four thousand, three hundred".