40013110032101 has 16 divisors (see below), whose sum is σ = 42050926857984. Its totient is φ = 38025658972224.

The previous prime is 40013110032083. The next prime is 40013110032109. The reversal of 40013110032101 is 10123001131004.

40013110032101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 40013110032101 - 2²⁶ = 40013042923237 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40013110032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40013110032109) 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 15 ways as a sum of consecutive naturals, for example, 116947460 + ... + 117289106.

It is an arithmetic number, because the mean of its divisors is an integer number (2628182928624).

Almost surely, 2^{40013110032101} is an apocalyptic number.

It is an amenable number.

40013110032101 is a deficient number, since it is larger than the sum of its proper divisors (2037816825883).

40013110032101 is a wasteful number, since it uses less digits than its factorization.

40013110032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415340.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 40013110032101 its reverse (10123001131004), we get a palindrome (50136111163105).

The spelling of 40013110032101 in words is "forty trillion, thirteen billion, one hundred ten million, thirty-two thousand, one hundred one".