110300400013 has 2 divisors, whose sum is σ = 110300400014. Its totient is φ = 110300400012.

The previous prime is 110300399981. The next prime is 110300400017. The reversal of 110300400013 is 310004003011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65611285609 + 44689114404 = 256147^2 + 211398^2 .

It is a cyclic number.

It is not a de Polignac number, because 110300400013 - 2⁵ = 110300399981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110300399966 and 110300400002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110300400017) 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, 55150200006 + 55150200007.

It is an arithmetic number, because the mean of its divisors is an integer number (55150200007).

Almost surely, 2^110300400013 is an apocalyptic number.

It is an amenable number.

110300400013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110300400013 is an equidigital number, since it uses as much as digits as its factorization.

110300400013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 110300400013 its reverse (310004003011), we get a palindrome (420304403024).

The spelling of 110300400013 in words is "one hundred ten billion, three hundred million, four hundred thousand, thirteen".