10231311100013 has 2 divisors, whose sum is σ = 10231311100014. Its totient is φ = 10231311100012.

The previous prime is 10231311100009. The next prime is 10231311100039. The reversal of 10231311100013 is 31000111313201.

10231311100013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8362958366884 + 1868352733129 = 2891878^2 + 1366877^2 .

It is a cyclic number.

It is not a de Polignac number, because 10231311100013 - 2² = 10231311100009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10231311099964 and 10231311100000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10231311100513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5115655550006 + 5115655550007.

It is an arithmetic number, because the mean of its divisors is an integer number (5115655550007).

Almost surely, 2^{10231311100013} is an apocalyptic number.

It is an amenable number.

10231311100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10231311100013 is an equidigital number, since it uses as much as digits as its factorization.

10231311100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10231311100013 its reverse (31000111313201), we get a palindrome (41231422413214).

The spelling of 10231311100013 in words is "ten trillion, two hundred thirty-one billion, three hundred eleven million, one hundred thousand, thirteen".