110101233000013 has 2 divisors, whose sum is σ = 110101233000014. Its totient is φ = 110101233000012.

The previous prime is 110101232999987. The next prime is 110101233000019. The reversal of 110101233000013 is 310000332101011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95584508153289 + 14516724846724 = 9776733^2 + 3810082^2 .

It is an emirp because it is prime and its reverse (310000332101011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110101233000013 - 2³⁷ = 109963794046541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101233000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050616500006 + 55050616500007.

It is an arithmetic number, because the mean of its divisors is an integer number (55050616500007).

Almost surely, 2^{110101233000013} is an apocalyptic number.

It is an amenable number.

110101233000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101233000013 is an equidigital number, since it uses as much as digits as its factorization.

110101233000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 110101233000013 its reverse (310000332101011), we get a palindrome (420101565101024).

The spelling of 110101233000013 in words is "one hundred ten trillion, one hundred one billion, two hundred thirty-three million, thirteen", and thus it is an aban number.