100001001101311 has 2 divisors, whose sum is σ = 100001001101312. Its totient is φ = 100001001101310.

The previous prime is 100001001101297. The next prime is 100001001101321. The reversal of 100001001101311 is 113101100100001.

It is an a-pointer prime, because the next prime (100001001101321) can be obtained adding 100001001101311 to its sum of digits (10).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001001101311 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001001101321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000500550655 + 50000500550656.

It is an arithmetic number, because the mean of its divisors is an integer number (50000500550656).

Almost surely, 2^{100001001101311} is an apocalyptic number.

100001001101311 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001001101311 is an equidigital number, since it uses as much as digits as its factorization.

100001001101311 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 100001001101311 its reverse (113101100100001), we get a palindrome (213102101201312).

The spelling of 100001001101311 in words is "one hundred trillion, one billion, one million, one hundred one thousand, three hundred eleven".