10000111303313 has 2 divisors, whose sum is σ = 10000111303314. Its totient is φ = 10000111303312.

The previous prime is 10000111303283. The next prime is 10000111303451. The reversal of 10000111303313 is 31330311100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7348398688849 + 2651712614464 = 2710793^2 + 1628408^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000111303313 - 2²⁰ = 10000110254737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000111303291 and 10000111303300.

It is not a weakly prime, because it can be changed into another prime (10000111300313) 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, 5000055651656 + 5000055651657.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055651657).

Almost surely, 2^{10000111303313} is an apocalyptic number.

It is an amenable number.

10000111303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111303313 is an equidigital number, since it uses as much as digits as its factorization.

10000111303313 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 17.

Adding to 10000111303313 its reverse (31330311100001), we get a palindrome (41330422403314).

The spelling of 10000111303313 in words is "ten trillion, one hundred eleven million, three hundred three thousand, three hundred thirteen".