1020020013 has 16 divisors (see below), whose sum is σ = 1516491840. Its totient is φ = 677605392.

The previous prime is 1020019969. The next prime is 1020020041. The reversal of 1020020013 is 3100200201.

It is a happy number.

1020020013 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 1020020013 - 2⁸ = 1020019757 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 = 1020019977 and 1020020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020020083) 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, 59106 + ... + 74387.

It is an arithmetic number, because the mean of its divisors is an integer number (94780740).

Almost surely, 2^1020020013 is an apocalyptic number.

It is an amenable number.

1020020013 is a deficient number, since it is larger than the sum of its proper divisors (496471827).

1020020013 is a wasteful number, since it uses less digits than its factorization.

1020020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133785 (or 133779 counting only the distinct ones).

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

The square root of 1020020013 is about 31937.7521594742. The cubic root of 1020020013 is about 1006.6292930270.

Adding to 1020020013 its reverse (3100200201), we get a palindrome (4120220214).

The spelling of 1020020013 in words is "one billion, twenty million, twenty thousand, thirteen".