10000111122013 has 2 divisors, whose sum is σ = 10000111122014. Its totient is φ = 10000111122012.

The previous prime is 10000111122011. The next prime is 10000111122017. The reversal of 10000111122013 is 31022111100001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7328265883929 + 2671845238084 = 2707077^2 + 1634578^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000111122013 - 2¹ = 10000111122011 is a prime.

Together with 10000111122011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10000111121984 and 10000111122002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000111122011) 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, 5000055561006 + 5000055561007.

It is an arithmetic number, because the mean of its divisors is an integer number (5000055561007).

Almost surely, 2^{10000111122013} is an apocalyptic number.

It is an amenable number.

10000111122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000111122013 is an equidigital number, since it uses as much as digits as its factorization.

10000111122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10000111122013 its reverse (31022111100001), we get a palindrome (41022222222014).

The spelling of 10000111122013 in words is "ten trillion, one hundred eleven million, one hundred twenty-two thousand, thirteen".