131011120321133 has 16 divisors (see below), whose sum is σ = 143438389105536. Its totient is φ = 118920503816640.

The previous prime is 131011120321069. The next prime is 131011120321153. The reversal of 131011120321133 is 331123021110131.

It is a cyclic number.

It is not a de Polignac number, because 131011120321133 - 2⁶ = 131011120321069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131011120321099 and 131011120321108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011120321153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17945585 + ... + 24167462.

It is an arithmetic number, because the mean of its divisors is an integer number (8964899319096).

Almost surely, 2^{131011120321133} is an apocalyptic number.

131011120321133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131011120321133 is a deficient number, since it is larger than the sum of its proper divisors (12427268784403).

131011120321133 is a wasteful number, since it uses less digits than its factorization.

131011120321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42117044.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 131011120321133 its reverse (331123021110131), we get a palindrome (462134141431264).

The spelling of 131011120321133 in words is "one hundred thirty-one trillion, eleven billion, one hundred twenty million, three hundred twenty-one thousand, one hundred thirty-three".