801387313 has 2 divisors, whose sum is σ = 801387314. Its totient is φ = 801387312.

The previous prime is 801387311. The next prime is 801387319. The reversal of 801387313 is 313783108.

801387313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 754765729 + 46621584 = 27473^2 + 6828^2 .

It is a cyclic number.

It is not a de Polignac number, because 801387313 - 2¹ = 801387311 is a prime.

Together with 801387311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (801387311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400693656 + 400693657.

It is an arithmetic number, because the mean of its divisors is an integer number (400693657).

Almost surely, 2^801387313 is an apocalyptic number.

It is an amenable number.

801387313 is a deficient number, since it is larger than the sum of its proper divisors (1).

801387313 is an equidigital number, since it uses as much as digits as its factorization.

801387313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 801387313 is about 28308.7850851993. The cubic root of 801387313 is about 928.8540682119.

The spelling of 801387313 in words is "eight hundred one million, three hundred eighty-seven thousand, three hundred thirteen".