100100000111311 has 2 divisors, whose sum is σ = 100100000111312. Its totient is φ = 100100000111310.

The previous prime is 100100000111273. The next prime is 100100000111323. The reversal of 100100000111311 is 113111000001001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100100000111311 - 2⁷ = 100100000111183 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100000117311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050000055655 + 50050000055656.

It is an arithmetic number, because the mean of its divisors is an integer number (50050000055656).

Almost surely, 2^{100100000111311} is an apocalyptic number.

100100000111311 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100000111311 is an equidigital number, since it uses as much as digits as its factorization.

100100000111311 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 100100000111311 its reverse (113111000001001), we get a palindrome (213211000112312).

The spelling of 100100000111311 in words is "one hundred trillion, one hundred billion, one hundred eleven thousand, three hundred eleven".