1013344252800 has 384 divisors, whose sum is σ = 3647359411200. Its totient is φ = 245238988800.

The previous prime is 1013344252771. The next prime is 1013344252831. The reversal of 1013344252800 is 82524433101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 64091296 + ... + 64107104.

It is an arithmetic number, because the mean of its divisors is an integer number (9498331800).

Almost surely, 2^{1013344252800} is an apocalyptic number.

1013344252800 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 1013344252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823679705600).

1013344252800 is an abundant number, since it is smaller than the sum of its proper divisors (2634015158400).

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

1013344252800 is a wasteful number, since it uses less digits than its factorization.

1013344252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16454 (or 16437 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 1013344252800 its reverse (82524433101), we get a palindrome (1095868685901).

The spelling of 1013344252800 in words is "one trillion, thirteen billion, three hundred forty-four million, two hundred fifty-two thousand, eight hundred".