100110103114013 has 2 divisors, whose sum is σ = 100110103114014. Its totient is φ = 100110103114012.

The previous prime is 100110103114001. The next prime is 100110103114027. The reversal of 100110103114013 is 310411301011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75814687508569 + 24295415605444 = 8707163^2 + 4929038^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110103114013 - 2⁴⁰ = 99010591486237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110103113982 and 100110103114000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110103114513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055051557006 + 50055051557007.

It is an arithmetic number, because the mean of its divisors is an integer number (50055051557007).

Almost surely, 2^{100110103114013} is an apocalyptic number.

It is an amenable number.

100110103114013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110103114013 is an equidigital number, since it uses as much as digits as its factorization.

100110103114013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100110103114013 its reverse (310411301011001), we get a palindrome (410521404125014).

The spelling of 100110103114013 in words is "one hundred trillion, one hundred ten billion, one hundred three million, one hundred fourteen thousand, thirteen".