10073503313 has 2 divisors, whose sum is σ = 10073503314. Its totient is φ = 10073503312.

The previous prime is 10073503303. The next prime is 10073503331. The reversal of 10073503313 is 31330537001.

10073503313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10073503331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6579156544 + 3494346769 = 81112^2 + 59113^2 .

It is an emirp because it is prime and its reverse (31330537001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10073503313 - 2¹² = 10073499217 is a prime.

It is not a weakly prime, because it can be changed into another prime (10073503303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5036751656 + 5036751657.

It is an arithmetic number, because the mean of its divisors is an integer number (5036751657).

Almost surely, 2^10073503313 is an apocalyptic number.

It is an amenable number.

10073503313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10073503313 is an equidigital number, since it uses as much as digits as its factorization.

10073503313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 26.

The spelling of 10073503313 in words is "ten billion, seventy-three million, five hundred three thousand, three hundred thirteen".