101041013 has 16 divisors (see below), whose sum is σ = 110088000. Its totient is φ = 92365056.

The previous prime is 101040977. The next prime is 101041027. The reversal of 101041013 is 310140101.

It is a cyclic number.

It is not a de Polignac number, because 101041013 - 2²⁰ = 99992437 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101040985 and 101041003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101041033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202238 + ... + 202736.

It is an arithmetic number, because the mean of its divisors is an integer number (6880500).

Almost surely, 2^101041013 is an apocalyptic number.

It is an amenable number.

101041013 is a deficient number, since it is larger than the sum of its proper divisors (9046987).

101041013 is a wasteful number, since it uses less digits than its factorization.

101041013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 101041013 is about 10051.9158870337. The cubic root of 101041013 is about 465.7639778708.

Adding to 101041013 its reverse (310140101), we get a palindrome (411181114).

The spelling of 101041013 in words is "one hundred one million, forty-one thousand, thirteen".