1000113304344 has 256 divisors, whose sum is σ = 3168884505600. Its totient is φ = 255500697600.

The previous prime is 1000113304339. The next prime is 1000113304349. The reversal of 1000113304344 is 4434033110001.

It is an interprime number because it is at equal distance from previous prime (1000113304339) and next prime (1000113304349).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000113304349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27578064 + ... + 27614304.

It is an arithmetic number, because the mean of its divisors is an integer number (12378455100).

Almost surely, 2^{1000113304344} is an apocalyptic number.

1000113304344 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 1000113304344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584442252800).

1000113304344 is an abundant number, since it is smaller than the sum of its proper divisors (2168771201256).

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

1000113304344 is a wasteful number, since it uses less digits than its factorization.

1000113304344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36514 (or 36510 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1000113304344 its reverse (4434033110001), we get a palindrome (5434146414345).

The spelling of 1000113304344 in words is "one trillion, one hundred thirteen million, three hundred four thousand, three hundred forty-four".