241311331100 has 144 divisors (see below), whose sum is σ = 605095396416. Its totient is φ = 81818880000.

The previous prime is 241311331081. The next prime is 241311331133. The reversal of 241311331100 is 1133113142.

241311331100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 84343670 + ... + 84346530.

It is an arithmetic number, because the mean of its divisors is an integer number (4202051364).

Almost surely, 2^241311331100 is an apocalyptic number.

241311331100 is a gapful number since it is divisible by the number (20) 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 241311331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302547698208).

241311331100 is an abundant number, since it is smaller than the sum of its proper divisors (363784065316).

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

241311331100 is a wasteful number, since it uses less digits than its factorization.

241311331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 241311331100 its reverse (1133113142), we get a palindrome (242444444242).

The spelling of 241311331100 in words is "two hundred forty-one billion, three hundred eleven million, three hundred thirty-one thousand, one hundred".