2002020013 has 16 divisors (see below), whose sum is σ = 2351756160. Its totient is φ = 1668292416.

The previous prime is 2002019947. The next prime is 2002020029. The reversal of 2002020013 is 3100202002.

It is not a de Polignac number, because 2002020013 - 2²¹ = 1999922861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002020043) 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, 440370 + ... + 444892.

It is an arithmetic number, because the mean of its divisors is an integer number (146984760).

Almost surely, 2^2002020013 is an apocalyptic number.

It is an amenable number.

2002020013 is a deficient number, since it is larger than the sum of its proper divisors (349736147).

2002020013 is a wasteful number, since it uses less digits than its factorization.

2002020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6276.

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2002020013 is about 44743.9382821852. The cubic root of 2002020013 is about 1260.3450833180.

Adding to 2002020013 its reverse (3100202002), we get a palindrome (5102222015).

The spelling of 2002020013 in words is "two billion, two million, twenty thousand, thirteen".