3001011312213 has 168 divisors, whose sum is σ = 5093108717400. Its totient is φ = 1759207403520.

The previous prime is 3001011312133. The next prime is 3001011312263. The reversal of 3001011312213 is 3122131101003.

3001011312213 is a `hidden beast` number, since 300 + 10 + 1 + 131 + 221 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1495379242449 + 1505632069764 = 1222857^2 + 1227042^2 .

It is not a de Polignac number, because 3001011312213 - 2⁸ = 3001011311957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001011312263) 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 in 167 ways as a sum of consecutive naturals, for example, 345376173 + ... + 345384861.

Almost surely, 2^{3001011312213} is an apocalyptic number.

It is an amenable number.

3001011312213 is a deficient number, since it is larger than the sum of its proper divisors (2092097405187).

3001011312213 is an equidigital number, since it uses as much as digits as its factorization.

3001011312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8815 (or 8769 counting only the distinct ones).

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

Adding to 3001011312213 its reverse (3122131101003), we get a palindrome (6123142413216).

The spelling of 3001011312213 in words is "three trillion, one billion, eleven million, three hundred twelve thousand, two hundred thirteen".