10033020313 has 2 divisors, whose sum is σ = 10033020314. Its totient is φ = 10033020312.

The previous prime is 10033020259. The next prime is 10033020331. The reversal of 10033020313 is 31302033001.

10033020313 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 (10033020331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8065476864 + 1967543449 = 89808^2 + 44357^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033020313 - 2²⁵ = 9999465881 is a prime.

It is a super-2 number, since 2×10033020313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10033020013) 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, 5016510156 + 5016510157.

It is an arithmetic number, because the mean of its divisors is an integer number (5016510157).

Almost surely, 2^10033020313 is an apocalyptic number.

It is an amenable number.

10033020313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033020313 is an equidigital number, since it uses as much as digits as its factorization.

10033020313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 10033020313 its reverse (31302033001), we get a palindrome (41335053314).

The spelling of 10033020313 in words is "ten billion, thirty-three million, twenty thousand, three hundred thirteen".