12113131031001 has 96 divisors (see below), whose sum is σ = 23877250924800. Its totient is φ = 5713272921600.

The previous prime is 12113131030961. The next prime is 12113131031047. The reversal of 12113131031001 is 10013013131121.

12113131031001 is a `hidden beast` number, since 1 + 2 + 11 + 31 + 310 + 310 + 0 + 1 = 666.

It is not a de Polignac number, because 12113131031001 - 2¹⁴ = 12113131014617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12113131031051) 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 95 ways as a sum of consecutive naturals, for example, 10471426 + ... + 11570523.

It is an arithmetic number, because the mean of its divisors is an integer number (248721363800).

Almost surely, 2^{12113131031001} is an apocalyptic number.

12113131031001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12113131031001 is a deficient number, since it is larger than the sum of its proper divisors (11764119893799).

12113131031001 is a wasteful number, since it uses less digits than its factorization.

12113131031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22042047 (or 22042044 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 12113131031001 its reverse (10013013131121), we get a palindrome (22126144162122).

The spelling of 12113131031001 in words is "twelve trillion, one hundred thirteen billion, one hundred thirty-one million, thirty-one thousand, one".