131012334133 has 12 divisors (see below), whose sum is σ = 138590132268. Its totient is φ = 123830156160.

The previous prime is 131012334119. The next prime is 131012334161. The reversal of 131012334133 is 331433210131.

It can be written as a sum of positive squares in 2 ways, for example, as 23492612529 + 107519721604 = 153273^2 + 327902^2 .

It is a de Polignac number, because none of the positive numbers 2^k-131012334133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131012334098 and 131012334107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012634133) 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 11 ways as a sum of consecutive naturals, for example, 262758 + ... + 575383.

It is an arithmetic number, because the mean of its divisors is an integer number (11549177689).

Almost surely, 2^131012334133 is an apocalyptic number.

It is an amenable number.

131012334133 is a deficient number, since it is larger than the sum of its proper divisors (7577798135).

131012334133 is an equidigital number, since it uses as much as digits as its factorization.

131012334133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838612 (or 838593 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 131012334133 its reverse (331433210131), we get a palindrome (462445544264).

The spelling of 131012334133 in words is "one hundred thirty-one billion, twelve million, three hundred thirty-four thousand, one hundred thirty-three".