1013389305600 has 648 divisors, whose sum is σ = 4016032624128. Its totient is φ = 224153395200.

The previous prime is 1013389305563. The next prime is 1013389305601. The reversal of 1013389305600 is 65039833101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013389305601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29147427 + ... + 29182173.

Almost surely, 2^{1013389305600} is an apocalyptic number.

1013389305600 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 1013389305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008016312064).

1013389305600 is an abundant number, since it is smaller than the sum of its proper divisors (3002643318528).

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

1013389305600 is a wasteful number, since it uses less digits than its factorization.

1013389305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34821 (or 34795 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 1013389305600 in words is "one trillion, thirteen billion, three hundred eighty-nine million, three hundred five thousand, six hundred".