820140013 has 16 divisors (see below), whose sum is σ = 1023186816. Its totient is φ = 638648640.

The previous prime is 820140011. The next prime is 820140017. The reversal of 820140013 is 310041028.

It is not a de Polignac number, because 820140013 - 2¹ = 820140011 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 (820140011) 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, 167995 + ... + 172807.

It is an arithmetic number, because the mean of its divisors is an integer number (63949176).

Almost surely, 2^820140013 is an apocalyptic number.

It is an amenable number.

820140013 is a deficient number, since it is larger than the sum of its proper divisors (203046803).

820140013 is a wasteful number, since it uses less digits than its factorization.

820140013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7044.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 820140013 is about 28638.0867552286. The cubic root of 820140013 is about 936.0434319614.

The spelling of 820140013 in words is "eight hundred twenty million, one hundred forty thousand, thirteen".