3001131112133 has 48 divisors (see below), whose sum is σ = 3850123243968. Its totient is φ = 2313045504000.

The previous prime is 3001131112073. The next prime is 3001131112139. The reversal of 3001131112133 is 3312111311003.

3001131112133 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 3001131112133 - 2¹⁰ = 3001131111109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001131112139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36927803 + ... + 37008983.

It is an arithmetic number, because the mean of its divisors is an integer number (80210900916).

Almost surely, 2^{3001131112133} is an apocalyptic number.

It is an amenable number.

3001131112133 is a deficient number, since it is larger than the sum of its proper divisors (848992131835).

3001131112133 is a wasteful number, since it uses less digits than its factorization.

3001131112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81954 (or 81947 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 3001131112133 its reverse (3312111311003), we get a palindrome (6313242423136).

The spelling of 3001131112133 in words is "three trillion, one billion, one hundred thirty-one million, one hundred twelve thousand, one hundred thirty-three".