10020413013 has 16 divisors (see below), whose sum is σ = 15013864320. Its totient is φ = 5898302784.

The previous prime is 10020412951. The next prime is 10020413027. The reversal of 10020413013 is 31031402001.

10020413013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10020413013 - 2¹⁷ = 10020281941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10020412983 and 10020413001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020413033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5584618 + ... + 5586411.

It is an arithmetic number, because the mean of its divisors is an integer number (938366520).

Almost surely, 2^10020413013 is an apocalyptic number.

10020413013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10020413013 is a deficient number, since it is larger than the sum of its proper divisors (4993451307).

10020413013 is a wasteful number, since it uses less digits than its factorization.

10020413013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11171068.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10020413013 its reverse (31031402001), we get a palindrome (41051815014).

The spelling of 10020413013 in words is "ten billion, twenty million, four hundred thirteen thousand, thirteen".