1000113314200 has 288 divisors, whose sum is σ = 3177787077360. Its totient is φ = 287744486400.

The previous prime is 1000113314191. The next prime is 1000113314219. The reversal of 1000113314200 is 24133110001.

1000113314200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1044574 + ... + 1758226.

Almost surely, 2^{1000113314200} is an apocalyptic number.

1000113314200 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 1000113314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1588893538680).

1000113314200 is an abundant number, since it is smaller than the sum of its proper divisors (2177673763160).

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

1000113314200 is a wasteful number, since it uses less digits than its factorization.

1000113314200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713707 (or 713691 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1000113314200 its reverse (24133110001), we get a palindrome (1024246424201).

The spelling of 1000113314200 in words is "one trillion, one hundred thirteen million, three hundred fourteen thousand, two hundred".