3001110034013 has 32 divisors (see below), whose sum is σ = 3902340879360. Its totient is φ = 2243845820160.

The previous prime is 3001110034003. The next prime is 3001110034049. The reversal of 3001110034013 is 3104300111003.

3001110034013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3001110034013 - 2¹⁶ = 3001109968477 is a prime.

It is a super-2 number, since 2×3001110034013² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3001110033982 and 3001110034000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001110034003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11973998 + ... + 12222063.

It is an arithmetic number, because the mean of its divisors is an integer number (121948152480).

Almost surely, 2^{3001110034013} is an apocalyptic number.

It is an amenable number.

3001110034013 is a deficient number, since it is larger than the sum of its proper divisors (901230845347).

3001110034013 is a wasteful number, since it uses less digits than its factorization.

3001110034013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24196157.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 3001110034013 its reverse (3104300111003), we get a palindrome (6105410145016).

The spelling of 3001110034013 in words is "three trillion, one billion, one hundred ten million, thirty-four thousand, thirteen".