10311001101001 has 2 divisors, whose sum is σ = 10311001101002. Its totient is φ = 10311001101000.

The previous prime is 10311001100921. The next prime is 10311001101119. The reversal of 10311001101001 is 10010110011301.

10311001101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6861382091776 + 3449619009225 = 2619424^2 + 1857315^2 .

It is an emirp because it is prime and its reverse (10010110011301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10311001101001 - 2²¹ = 10310999003849 is a prime.

It is not a weakly prime, because it can be changed into another prime (10311001131001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155500550500 + 5155500550501.

It is an arithmetic number, because the mean of its divisors is an integer number (5155500550501).

Almost surely, 2^{10311001101001} is an apocalyptic number.

It is an amenable number.

10311001101001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311001101001 is an equidigital number, since it uses as much as digits as its factorization.

10311001101001 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 10311001101001 its reverse (10010110011301), we get a palindrome (20321111112302).

The spelling of 10311001101001 in words is "ten trillion, three hundred eleven billion, one million, one hundred one thousand, one".