100111213113013 has 2 divisors, whose sum is σ = 100111213113014. Its totient is φ = 100111213113012.

The previous prime is 100111213112969. The next prime is 100111213113061. The reversal of 100111213113013 is 310311312111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51150503233764 + 48960709879249 = 7151958^2 + 6997193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100111213113013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111213143013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055606556506 + 50055606556507.

It is an arithmetic number, because the mean of its divisors is an integer number (50055606556507).

Almost surely, 2^{100111213113013} is an apocalyptic number.

It is an amenable number.

100111213113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111213113013 is an equidigital number, since it uses as much as digits as its factorization.

100111213113013 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 19.

Adding to 100111213113013 its reverse (310311312111001), we get a palindrome (410422525224014).

The spelling of 100111213113013 in words is "one hundred trillion, one hundred eleven billion, two hundred thirteen million, one hundred thirteen thousand, thirteen".