20010010106311 has 2 divisors, whose sum is σ = 20010010106312. Its totient is φ = 20010010106310.

The previous prime is 20010010106267. The next prime is 20010010106327. The reversal of 20010010106311 is 11360101001002.

It is an a-pointer prime, because the next prime (20010010106327) can be obtained adding 20010010106311 to its sum of digits (16).

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20010010106311 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20010010101311) 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, 10005005053155 + 10005005053156.

It is an arithmetic number, because the mean of its divisors is an integer number (10005005053156).

Almost surely, 2^{20010010106311} is an apocalyptic number.

20010010106311 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010010106311 is an equidigital number, since it uses as much as digits as its factorization.

20010010106311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 20010010106311 its reverse (11360101001002), we get a palindrome (31370111107313).

The spelling of 20010010106311 in words is "twenty trillion, ten billion, ten million, one hundred six thousand, three hundred eleven".