8013013 has 2 divisors, whose sum is σ = 8013014. Its totient is φ = 8013012.

The previous prime is 8012987. The next prime is 8013029. The reversal of 8013013 is 3103108.

It is an a-pointer prime, because the next prime (8013029) can be obtained adding 8013013 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7409284 + 603729 = 2722^2 + 777^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8013013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8013043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4006506 + 4006507.

It is an arithmetic number, because the mean of its divisors is an integer number (4006507).

Almost surely, 2^8013013 is an apocalyptic number.

It is an amenable number.

8013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

8013013 is an equidigital number, since it uses as much as digits as its factorization.

8013013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 8013013 is about 2830.7265851721. The cubic root of 8013013 is about 200.1083829218.

The spelling of 8013013 in words is "eight million, thirteen thousand, thirteen".