202080013 has 2 divisors, whose sum is σ = 202080014. Its totient is φ = 202080012.

The previous prime is 202079993. The next prime is 202080019. The reversal of 202080013 is 310080202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 169052004 + 33028009 = 13002^2 + 5747^2 .

It is a cyclic number.

It is not a de Polignac number, because 202080013 - 2⁵ = 202079981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202080019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101040006 + 101040007.

It is an arithmetic number, because the mean of its divisors is an integer number (101040007).

Almost surely, 2^202080013 is an apocalyptic number.

It is an amenable number.

202080013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202080013 is an equidigital number, since it uses as much as digits as its factorization.

202080013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 202080013 is about 14215.4849723814. The cubic root of 202080013 is about 586.8238914793.

The spelling of 202080013 in words is "two hundred two million, eighty thousand, thirteen".