101506013 has 16 divisors (see below), whose sum is σ = 119278080. Its totient is φ = 84585600.

The previous prime is 101506007. The next prime is 101506021. The reversal of 101506013 is 310605101.

It is not a de Polignac number, because 101506013 - 2¹⁰ = 101504989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101505982 and 101506000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101506043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36668 + ... + 39338.

It is an arithmetic number, because the mean of its divisors is an integer number (7454880).

Almost surely, 2^101506013 is an apocalyptic number.

It is an amenable number.

101506013 is a deficient number, since it is larger than the sum of its proper divisors (17772067).

101506013 is an equidigital number, since it uses as much as digits as its factorization.

101506013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 101506013 is about 10075.0192555647. The cubic root of 101506013 is about 466.4773807733.

The spelling of 101506013 in words is "one hundred one million, five hundred six thousand, thirteen".