1013794113024 has 2400 divisors, whose sum is σ = 4214563584000. Its totient is φ = 241416806400.

The previous prime is 1013794113001. The next prime is 1013794113053. The reversal of 1013794113024 is 4203114973101.

It is a happy number.

It is a super-3 number, since 3×1013794113024³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1013794113024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 32703035889 + ... + 32703035919.

It is an arithmetic number, because the mean of its divisors is an integer number (1756068160).

Almost surely, 2^{1013794113024} is an apocalyptic number.

1013794113024 is a gapful number since it is divisible by the number (14) 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 1013794113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107281792000).

1013794113024 is an abundant number, since it is smaller than the sum of its proper divisors (3200769470976).

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

1013794113024 is an equidigital number, since it uses as much as digits as its factorization.

1013794113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 1013794113024 in words is "one trillion, thirteen billion, seven hundred ninety-four million, one hundred thirteen thousand, twenty-four".