20032013 has 2 divisors, whose sum is σ = 20032014. Its totient is φ = 20032012.

The previous prime is 20031997. The next prime is 20032021. The reversal of 20032013 is 31023002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16024009 + 4008004 = 4003^2 + 2002^2 .

It is a cyclic number.

It is not a de Polignac number, because 20032013 - 2⁴ = 20031997 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 20031985 and 20032003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20032043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10016006 + 10016007.

It is an arithmetic number, because the mean of its divisors is an integer number (10016007).

Almost surely, 2^20032013 is an apocalyptic number.

It is an amenable number.

20032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20032013 is an equidigital number, since it uses as much as digits as its factorization.

20032013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 20032013 is about 4475.7136861064. The cubic root of 20032013 is about 271.5865122072.

Adding to 20032013 its reverse (31023002), we get a palindrome (51055015).

The spelling of 20032013 in words is "twenty million, thirty-two thousand, thirteen".