41130032101 has 32 divisors (see below), whose sum is σ = 45397104480. Its totient is φ = 37090099200.

The previous prime is 41130032063. The next prime is 41130032107. The reversal of 41130032101 is 10123003114.

It can be written as a sum of positive squares in 16 ways, for example, as 7439062500 + 33690969601 = 86250^2 + 183551^2 .

It is a cyclic number.

It is not a de Polignac number, because 41130032101 - 2⁷ = 41130031973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41130032107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46685181 + ... + 46686061.

It is an arithmetic number, because the mean of its divisors is an integer number (1418659515).

Almost surely, 2^41130032101 is an apocalyptic number.

It is an amenable number.

41130032101 is a deficient number, since it is larger than the sum of its proper divisors (4267072379).

41130032101 is a wasteful number, since it uses less digits than its factorization.

41130032101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 41130032101 its reverse (10123003114), we get a palindrome (51253035215).

The spelling of 41130032101 in words is "forty-one billion, one hundred thirty million, thirty-two thousand, one hundred one".