100000311010001 has 2 divisors, whose sum is σ = 100000311010002. Its totient is φ = 100000311010000.

The previous prime is 100000311009941. The next prime is 100000311010009. The reversal of 100000311010001 is 100010113000001.

It is an a-pointer prime, because the next prime (100000311010009) can be obtained adding 100000311010001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99104115561025 + 896195448976 = 9955105^2 + 946676^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100000311010001 is a prime.

It is not a weakly prime, because it can be changed into another prime (100000311010009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000155505000 + 50000155505001.

It is an arithmetic number, because the mean of its divisors is an integer number (50000155505001).

Almost surely, 2^{100000311010001} is an apocalyptic number.

It is an amenable number.

100000311010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000311010001 is an equidigital number, since it uses as much as digits as its factorization.

100000311010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 100000311010001 its reverse (100010113000001), we get a palindrome (200010424010002).

The spelling of 100000311010001 in words is "one hundred trillion, three hundred eleven million, ten thousand, one".