10033101313 has 2 divisors, whose sum is σ = 10033101314. Its totient is φ = 10033101312.

The previous prime is 10033101301. The next prime is 10033101329. The reversal of 10033101313 is 31310133001.

It is an a-pointer prime, because the next prime (10033101329) can be obtained adding 10033101313 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8766951424 + 1266149889 = 93632^2 + 35583^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033101313 - 2³³ = 1443166721 is a prime.

It is not a weakly prime, because it can be changed into another prime (10033101343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016550656 + 5016550657.

It is an arithmetic number, because the mean of its divisors is an integer number (5016550657).

Almost surely, 2^10033101313 is an apocalyptic number.

It is an amenable number.

10033101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033101313 is an equidigital number, since it uses as much as digits as its factorization.

10033101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10033101313 its reverse (31310133001), we get a palindrome (41343234314).

The spelling of 10033101313 in words is "ten billion, thirty-three million, one hundred one thousand, three hundred thirteen".