10010000013313 has 2 divisors, whose sum is σ = 10010000013314. Its totient is φ = 10010000013312.

The previous prime is 10010000013283. The next prime is 10010000013331. The reversal of 10010000013313 is 31331000001001.

It is a happy number.

Together with next prime (10010000013331) 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., 9555962577984 + 454037435329 = 3091272^2 + 673823^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10010000013313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010000013293 and 10010000013302.

It is not a weakly prime, because it can be changed into another prime (10010000011313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000006656 + 5005000006657.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000006657).

Almost surely, 2^{10010000013313} is an apocalyptic number.

It is an amenable number.

10010000013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010000013313 is an equidigital number, since it uses as much as digits as its factorization.

10010000013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10010000013313 its reverse (31331000001001), we get a palindrome (41341000014314).

The spelling of 10010000013313 in words is "ten trillion, ten billion, thirteen thousand, three hundred thirteen".