2013441100100 has 18 divisors (see below), whose sum is σ = 4369167187434. Its totient is φ = 805376440000.

The previous prime is 2013441100067. The next prime is 2013441100159. The reversal of 2013441100100 is 10011443102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10061293636 + 2003379806464 = 100306^2 + 1415408^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10067205401 + ... + 10067205600.

It is an arithmetic number, because the mean of its divisors is an integer number (242731510413).

Almost surely, 2^{2013441100100} is an apocalyptic number.

2013441100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013441100100 is an abundant number, since it is smaller than the sum of its proper divisors (2355726087334).

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

2013441100100 is a wasteful number, since it uses less digits than its factorization.

2013441100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20134411015 (or 20134411008 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2013441100100 its reverse (10011443102), we get a palindrome (2023452543202).

The spelling of 2013441100100 in words is "two trillion, thirteen billion, four hundred forty-one million, one hundred thousand, one hundred".