801381313 has 2 divisors, whose sum is σ = 801381314. Its totient is φ = 801381312.

The previous prime is 801381271. The next prime is 801381323. The reversal of 801381313 is 313183108.

801381313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 717329089 + 84052224 = 26783^2 + 9168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-801381313 is a prime.

It is not a weakly prime, because it can be changed into another prime (801381323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 400690656 + 400690657.

It is an arithmetic number, because the mean of its divisors is an integer number (400690657).

Almost surely, 2^801381313 is an apocalyptic number.

It is an amenable number.

801381313 is a deficient number, since it is larger than the sum of its proper divisors (1).

801381313 is an equidigital number, since it uses as much as digits as its factorization.

801381313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 801381313 is about 28308.6791108310. The cubic root of 801381313 is about 928.8517500909.

The spelling of 801381313 in words is "eight hundred one million, three hundred eighty-one thousand, three hundred thirteen".