113541104421120 has 576 divisors, whose sum is σ = 414461738718720. Its totient is φ = 26317681065984.

The previous prime is 113541104421077. The next prime is 113541104421161. The reversal of 113541104421120 is 21124401145311.

It is a super-2 number, since 2×113541104421120² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42237942 + ... + 44845578.

It is an arithmetic number, because the mean of its divisors is an integer number (719551629720).

Almost surely, 2^{113541104421120} is an apocalyptic number.

113541104421120 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 113541104421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207230869359360).

113541104421120 is an abundant number, since it is smaller than the sum of its proper divisors (300920634297600).

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

113541104421120 is a wasteful number, since it uses less digits than its factorization.

113541104421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607730 (or 2607716 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 113541104421120 its reverse (21124401145311), we get a palindrome (134665505566431).

The spelling of 113541104421120 in words is "one hundred thirteen trillion, five hundred forty-one billion, one hundred four million, four hundred twenty-one thousand, one hundred twenty".