3001011122313 has 6 divisors (see below), whose sum is σ = 4334793843354. Its totient is φ = 2000674081536.

The previous prime is 3001011122237. The next prime is 3001011122339. The reversal of 3001011122313 is 3132211101003.

3001011122313 is digitally balanced in base 2, 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., 2489667425424 + 511343696889 = 1577868^2 + 715083^2 .

It is not a de Polignac number, because 3001011122313 - 2¹⁰ = 3001011121289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3001011122113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 166722840120 + ... + 166722840137.

It is an arithmetic number, because the mean of its divisors is an integer number (722465640559).

Almost surely, 2^{3001011122313} is an apocalyptic number.

It is an amenable number.

3001011122313 is a deficient number, since it is larger than the sum of its proper divisors (1333782721041).

3001011122313 is a wasteful number, since it uses less digits than its factorization.

3001011122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333445680263 (or 333445680260 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3001011122313 its reverse (3132211101003), we get a palindrome (6133222223316).

The spelling of 3001011122313 in words is "three trillion, one billion, eleven million, one hundred twenty-two thousand, three hundred thirteen".