100001101011311 has 2 divisors, whose sum is σ = 100001101011312. Its totient is φ = 100001101011310.

The previous prime is 100001101011289. The next prime is 100001101011347. The reversal of 100001101011311 is 113110101100001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100001101011311 - 2²⁶ = 100001033902447 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100001101011292 and 100001101011301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001101013311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000550505655 + 50000550505656.

It is an arithmetic number, because the mean of its divisors is an integer number (50000550505656).

Almost surely, 2^{100001101011311} is an apocalyptic number.

100001101011311 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001101011311 is an equidigital number, since it uses as much as digits as its factorization.

100001101011311 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 11.

Adding to 100001101011311 its reverse (113110101100001), we get a palindrome (213111202111312).

The spelling of 100001101011311 in words is "one hundred trillion, one billion, one hundred one million, eleven thousand, three hundred eleven".