131023513133 has 16 divisors (see below), whose sum is σ = 136121310000. Its totient is φ = 125964905472.

The previous prime is 131023513123. The next prime is 131023513151. The reversal of 131023513133 is 331315320131.

It can be written as a sum of positive squares in 8 ways, for example, as 9471571684 + 121551941449 = 97322^2 + 348643^2 .

It is a cyclic number.

It is not a de Polignac number, because 131023513133 - 2¹⁸ = 131023250989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023513123) 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 15 ways as a sum of consecutive naturals, for example, 18851543 + ... + 18858491.

It is an arithmetic number, because the mean of its divisors is an integer number (8507581875).

Almost surely, 2^131023513133 is an apocalyptic number.

It is an amenable number.

131023513133 is a deficient number, since it is larger than the sum of its proper divisors (5097796867).

131023513133 is a wasteful number, since it uses less digits than its factorization.

131023513133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9664.

The product of its (nonzero) digits is 2430, while the sum is 26.

Adding to 131023513133 its reverse (331315320131), we get a palindrome (462338833264).

The spelling of 131023513133 in words is "one hundred thirty-one billion, twenty-three million, five hundred thirteen thousand, one hundred thirty-three".