101520013 has 6 divisors (see below), whose sum is σ = 118094766. Its totient is φ = 87017112.

The previous prime is 101519927. The next prime is 101520019. The reversal of 101520013 is 310025101.

It can be written as a sum of positive squares in only one way, i.e., 74615044 + 26904969 = 8638^2 + 5187^2 .

It is not a de Polignac number, because 101520013 - 2⁹ = 101519501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101519975 and 101520002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101520019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1035870 + ... + 1035967.

It is an arithmetic number, because the mean of its divisors is an integer number (19682461).

Almost surely, 2^101520013 is an apocalyptic number.

It is an amenable number.

101520013 is a deficient number, since it is larger than the sum of its proper divisors (16574753).

101520013 is an equidigital number, since it uses as much as digits as its factorization.

101520013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071851 (or 2071844 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 101520013 is about 10075.7140193636. The cubic root of 101520013 is about 466.4988257528.

Adding to 101520013 its reverse (310025101), we get a palindrome (411545114).

The spelling of 101520013 in words is "one hundred one million, five hundred twenty thousand, thirteen".