10020020013 has 12 divisors (see below), whose sum is σ = 14498806140. Its totient is φ = 6668270016.

The previous prime is 10020020009. The next prime is 10020020027. The reversal of 10020020013 is 31002002001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1168409124 + 8851610889 = 34182^2 + 94083^2 .

It is not a de Polignac number, because 10020020013 - 2² = 10020020009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10020019977 and 10020020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020020513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 973206 + ... + 983447.

It is an arithmetic number, because the mean of its divisors is an integer number (1208233845).

Almost surely, 2^10020020013 is an apocalyptic number.

It is an amenable number.

10020020013 is a deficient number, since it is larger than the sum of its proper divisors (4478786127).

10020020013 is a wasteful number, since it uses less digits than its factorization.

10020020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957228 (or 1957225 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10020020013 its reverse (31002002001), we get a palindrome (41022022014).

It can be divided in two parts, 1002002001 and 3, that multiplied together give a palindrome (3006006003).

The spelling of 10020020013 in words is "ten billion, twenty million, twenty thousand, thirteen".