3101311011001 has 6 divisors (see below), whose sum is σ = 3607647502650. Its totient is φ = 2658266580816.

The previous prime is 3101311010957. The next prime is 3101311011031. The reversal of 3101311011001 is 1001101131013.

3101311011001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2405461412025 + 695849598976 = 1550955^2 + 834176^2 .

It is not a de Polignac number, because 3101311011001 - 2⁹ = 3101311010489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3101311011031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31646030676 + ... + 31646030773.

It is an arithmetic number, because the mean of its divisors is an integer number (601274583775).

Almost surely, 2^{3101311011001} is an apocalyptic number.

It is an amenable number.

3101311011001 is a deficient number, since it is larger than the sum of its proper divisors (506336491649).

3101311011001 is an equidigital number, since it uses as much as digits as its factorization.

3101311011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63292061463 (or 63292061456 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 3101311011001 its reverse (1001101131013), we get a palindrome (4102412142014).

The spelling of 3101311011001 in words is "three trillion, one hundred one billion, three hundred eleven million, eleven thousand, one".