101507013 has 20 divisors (see below), whose sum is σ = 153038380. Its totient is φ = 67044672.

The previous prime is 101506997. The next prime is 101507039. The reversal of 101507013 is 310705101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65901924 + 35605089 = 8118^2 + 5967^2 .

It is not a de Polignac number, because 101507013 - 2⁴ = 101506997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101507083) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3081 + ... + 14577.

It is an arithmetic number, because the mean of its divisors is an integer number (7651919).

Almost surely, 2^101507013 is an apocalyptic number.

It is an amenable number.

101507013 is a deficient number, since it is larger than the sum of its proper divisors (51531367).

101507013 is a wasteful number, since it uses less digits than its factorization.

101507013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11618 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 101507013 is about 10075.0688831392. The cubic root of 101507013 is about 466.4789126230.

The spelling of 101507013 in words is "one hundred one million, five hundred seven thousand, thirteen".