131002022133 has 24 divisors (see below), whose sum is σ = 189490820376. Its totient is φ = 87212160000.

The previous prime is 131002022119. The next prime is 131002022143. The reversal of 131002022133 is 331220200131.

It can be written as a sum of positive squares in 4 ways, for example, as 8618894244 + 122383127889 = 92838^2 + 349833^2 .

It is not a de Polignac number, because 131002022133 - 2⁶ = 131002022069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131002022143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31181433 + ... + 31185633.

It is an arithmetic number, because the mean of its divisors is an integer number (7895450849).

Almost surely, 2^131002022133 is an apocalyptic number.

It is an amenable number.

131002022133 is a deficient number, since it is larger than the sum of its proper divisors (58488798243).

131002022133 is a wasteful number, since it uses less digits than its factorization.

131002022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131002022133 its reverse (331220200131), we get a palindrome (462222222264).

The spelling of 131002022133 in words is "one hundred thirty-one billion, two million, twenty-two thousand, one hundred thirty-three".