100111100100013 has 2 divisors, whose sum is σ = 100111100100014. Its totient is φ = 100111100100012.

The previous prime is 100111100099993. The next prime is 100111100100127. The reversal of 100111100100013 is 310001001111001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93818537884009 + 6292562216004 = 9685997^2 + 2508498^2 .

It is an emirp because it is prime and its reverse (310001001111001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100111100100013 - 2⁵ = 100111100099981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100111104100013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055550050006 + 50055550050007.

It is an arithmetic number, because the mean of its divisors is an integer number (50055550050007).

Almost surely, 2^{100111100100013} is an apocalyptic number.

It is an amenable number.

100111100100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100111100100013 is an equidigital number, since it uses as much as digits as its factorization.

100111100100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 100111100100013 its reverse (310001001111001), we get a palindrome (410112101211014).

The spelling of 100111100100013 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one hundred thousand, thirteen".