41001311101 has 4 divisors (see below), whose sum is σ = 41673463804. Its totient is φ = 40329158400.

The previous prime is 41001311009. The next prime is 41001311129. The reversal of 41001311101 is 10111310014.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2125302201 + 38876008900 = 46101^2 + 197170^2 .

It is a cyclic number.

It is not a de Polignac number, because 41001311101 - 2¹⁵ = 41001278333 is a prime.

It is a super-3 number, since 3×41001311101³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001311191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 336076260 + ... + 336076381.

It is an arithmetic number, because the mean of its divisors is an integer number (10418365951).

Almost surely, 2^41001311101 is an apocalyptic number.

It is an amenable number.

41001311101 is a deficient number, since it is larger than the sum of its proper divisors (672152703).

41001311101 is an equidigital number, since it uses as much as digits as its factorization.

41001311101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672152702.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 41001311101 its reverse (10111310014), we get a palindrome (51112621115).

The spelling of 41001311101 in words is "forty-one billion, one million, three hundred eleven thousand, one hundred one".