101413444041035 has 64 divisors (see below), whose sum is σ = 140454972000000. Its totient is φ = 68856856233984.

The previous prime is 101413444041017. The next prime is 101413444041053. The reversal of 101413444041035 is 530140444314101.

It is an interprime number because it is at equal distance from previous prime (101413444041017) and next prime (101413444041053).

It is not a de Polignac number, because 101413444041035 - 2²⁶ = 101413376932171 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a junction number, because it is equal to n+sod(n) for n = 101413444040986 and 101413444041004.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 10317773501 + ... + 10317783329.

It is an arithmetic number, because the mean of its divisors is an integer number (2194608937500).

Almost surely, 2^{101413444041035} is an apocalyptic number.

101413444041035 is a deficient number, since it is larger than the sum of its proper divisors (39041527958965).

101413444041035 is a wasteful number, since it uses less digits than its factorization.

101413444041035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16008.

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 101413444041035 its reverse (530140444314101), we get a palindrome (631553888355136).

The spelling of 101413444041035 in words is "one hundred one trillion, four hundred thirteen billion, four hundred forty-four million, forty-one thousand, thirty-five".