2013021011 has 2 divisors, whose sum is σ = 2013021012. Its totient is φ = 2013021010.

The previous prime is 2013020959. The next prime is 2013021061. The reversal of 2013021011 is 1101203102.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2013021011 - 2¹⁴ = 2013004627 is a prime.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013020983 and 2013021001.

It is not a weakly prime, because it can be changed into another prime (2013021061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006510505 + 1006510506.

It is an arithmetic number, because the mean of its divisors is an integer number (1006510506).

Almost surely, 2^2013021011 is an apocalyptic number.

2013021011 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013021011 is an equidigital number, since it uses as much as digits as its factorization.

2013021011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2013021011 is about 44866.7026981034. The cubic root of 2013021011 is about 1262.6493784756.

Adding to 2013021011 its reverse (1101203102), we get a palindrome (3114224113).

The spelling of 2013021011 in words is "two billion, thirteen million, twenty-one thousand, eleven".