1013301300000 has 576 divisors, whose sum is σ = 3681862345728. Its totient is φ = 241929600000.

The previous prime is 1013301299971. The next prime is 1013301300001. The reversal of 1013301300000 is 31033101.

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

It is not an unprimeable number, because it can be changed into a prime (1013301300001) 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 95 ways as a sum of consecutive naturals, for example, 221097709 + ... + 221102291.

It is an arithmetic number, because the mean of its divisors is an integer number (6392122128).

Almost surely, 2^{1013301300000} is an apocalyptic number.

1013301300000 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 1013301300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840931172864).

1013301300000 is an abundant number, since it is smaller than the sum of its proper divisors (2668561045728).

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

1013301300000 is an equidigital number, since it uses as much as digits as its factorization.

1013301300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4699 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 1013301300000 its reverse (31033101), we get a palindrome (1013332333101).

The spelling of 1013301300000 in words is "one trillion, thirteen billion, three hundred one million, three hundred thousand".