100110321013 has 2 divisors, whose sum is σ = 100110321014. Its totient is φ = 100110321012.

The previous prime is 100110320951. The next prime is 100110321023. The reversal of 100110321013 is 310123011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98773175524 + 1337145489 = 314282^2 + 36567^2 .

It is an emirp because it is prime and its reverse (310123011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100110321013 - 2¹³ = 100110312821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100110320984 and 100110321002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110321023) 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, 50055160506 + 50055160507.

It is an arithmetic number, because the mean of its divisors is an integer number (50055160507).

Almost surely, 2^100110321013 is an apocalyptic number.

It is an amenable number.

100110321013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110321013 is an equidigital number, since it uses as much as digits as its factorization.

100110321013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100110321013 its reverse (310123011001), we get a palindrome (410233332014).

The spelling of 100110321013 in words is "one hundred billion, one hundred ten million, three hundred twenty-one thousand, thirteen".