10000111313 has 2 divisors, whose sum is σ = 10000111314. Its totient is φ = 10000111312.

The previous prime is 10000111301. The next prime is 10000111321. The reversal of 10000111313 is 31311100001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9909804304 + 90307009 = 99548^2 + 9503^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000111313 - 2⁸ = 10000111057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000111294 and 10000111303.

It is not a weakly prime, because it can be changed into another prime (10000111343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000055656 + 5000055657.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055657).

Almost surely, 2^10000111313 is an apocalyptic number.

It is an amenable number.

10000111313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111313 is an equidigital number, since it uses as much as digits as its factorization.

10000111313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10000111313 its reverse (31311100001), we get a palindrome (41311211314).

The spelling of 10000111313 in words is "ten billion, one hundred eleven thousand, three hundred thirteen".