1000113335760 has 640 divisors, whose sum is σ = 3952175616000. Its totient is φ = 207398983680.

The previous prime is 1000113335759. The next prime is 1000113335849. The reversal of 1000113335760 is 675333110001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 685477911 + ... + 685479369.

It is an arithmetic number, because the mean of its divisors is an integer number (6175274400).

Almost surely, 2^{1000113335760} is an apocalyptic number.

1000113335760 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 1000113335760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976087808000).

1000113335760 is an abundant number, since it is smaller than the sum of its proper divisors (2952062280240).

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

1000113335760 is a wasteful number, since it uses less digits than its factorization.

1000113335760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

Adding to 1000113335760 its reverse (675333110001), we get a palindrome (1675446445761).

The spelling of 1000113335760 in words is "one trillion, one hundred thirteen million, three hundred thirty-five thousand, seven hundred sixty".